Q1 In an experiment, the function $$y={-}ax{^2} +bx+c$$, where a, b and c are constant, was plotted with y on the vertical axis and x on the horizontal axis. At maximum point on the graph, the tangent to the curve is to the x-axis?

Q2 The instrument usually used for measuring the internal diameter of a test-tube in the laboratory is

Q3 In the laboratory, the device usually used for measuring the diameter of a piece of wire is called

Q4 The statement "the upthrust experienced by an object that is wholly or partially immersed in a fluid is equal to the weight of the liquid displaced" is the principle

Q5 The maximum displacement of an oscillating from its equilibrium position is referred to as its

Q6 The inverse of the period of oscillation is the same as its

Q7 If n complete oscillations are made in t seconds, then the period T of oscillation is given as T= s.

Q8 In experiments involving oscillations, the number of complete oscllations per unit time is the of the oscillation

Q9 In general, a device used for measuring mass in the laboratory is called

Q10 In practical physics it advicable to display your obsevation data in an all-inclusive table known as table

Q11 Relative density of a liquid or granular substance not soluble in water can be experimentally determined using an apparatus known as relative density or bottle

Q12 An experiment was performed to determine the corfficient of friction using the scale pan or slot-weights method. A graph of the tension T in the string connecting the block on a bench and passing over a pulley to a freely hanging pan or slot-weighs was plotted against the weight W of the block. The slope $$\frac{\Delta{T}}{\Delta{W}}$$ gives the

Q13 The coefficient of friction between two surfaces is defined the ratio of the frictional force to to the surfaces

Q14 To determine the coefficient of friction between two surfaces we can place a block of material such as wood on an and gradually increase its angle until the block just begins to slide

Q15 In all experiments involving the method of mixtures (calorimetry), uniform temperature of the mixture is maintained by continually and gently it.

Q16 In an experiment to determine the specfic heat of fusion of ice the calorimeter must be to prevent loss of heat to the surrounding

Q17 The temperature at which, theoretically all thermal motions will cease is called temperature

Q18 In an experiment to verify Boyle's law, a student plotted P against V. His graph is a

Q19 In an experiment to deternine the surface tension of water by the capillary rise method, the instrument called is used to measure the capillary rise

Q20 For a loaded spiral spring, provided the of the spring is not exceeded, we write, F = -kx, where the symbols have the usual meaning.

Q21 The equation of a simple harmonic oscillator takes the form $a ={-} \omega^{2}$x. The symbols have their usual. The equivalent of $$\omega^{2}$$ in the case of a simple pendulum is

Q22 The motion of a simple harmonic oscillator is such that the acceleration is in direction to the displacement from equilibrium position

Q23 In simple harmonic motion, the restoring force F obeys 's law for small displacements from equilibrium position

Q24 To obtain a suitable spread of the plotted points on the graphed paper, a suitable must be chosen for each axis of the graph

Q25 In a simple pendulum experiment, $$T^{2} (s^{2})$$ is plotted on the vertical axis while is plotted on the horizontal axis

Q26 A straight line joining most of the plotted points with the rest of the plotted points on either sides of the line is called line of

Q27 The slope of the tangent to a curve which is parallel to the horizontal axis of the graph is

Q28 The slope of a graph is obtained from a suitable of slope drawn on the graph

Q29 A quantity to be measured as value is independent of the process of measurement

Q30 An experiment which gives a straight line graph with positive intercepts on both axes of the graph has a An experiment which gives a straight line graph with positive intercepts on both axes of the graph has a slope

Q31 When writing the results of an experimental observation in terms of significant digits, all non-zero digits are

Q32 The resulting temperature when 1kg of ice at 0 degrees Celcius is mixed with 9kg of water at 50 degress Celcius is to the nearest whole number.The specific capacity of water is 4200J/kg/K,the specific latent heat of fusion of ice is 330 000J/kg

Q33 A wooden block is at the verge of sliding freely down a wooden inclined plane when the inclination is 20degrees. The coeficient of limiting friction is to 2 decimal places

Q34 A mass of 150g when hung on a spiral spring stretches it 40cm. Assuming the spring is Hookean, the period of oscillation of the mass when slightly displaced and released is to 2 decimal places

Q35 In an experiment,measurements of variables were repeated in order to minimise

Q36 The simple pendulum experiment is used to determine an inaccessible height H using the relation $T=\pi\sqrt(\frac{(H-h)}{g}))$, where h is the height of the bob from the floor.The inaccessible height is obtainable from the of the graph of $T^{2}$ plotted against h

Q37 The displacement s of a trolley as a funtion of time is given as $$s+ds=0.63\pm0.02$$ for $$t+dt=1.71pm0.10$$s.The error dv in the measurement of velocity v is to 2 decimal places.

Q38 The precision index for the set of data 3.69,3.67,3.68,3.69,3.68,3.69,3.66,3.67 is to 3 decimal places

Q39 Errors that might result in measured values which are consistently too high or too low are called errors

Q40 The sum of the measurements 2.11m, 2.1546m and 2.125m may be rounded off as

Q41 The product of two measurements 1.23cm and 2.3cm should be rounded off as .

Q42 In recording measured values, a digit is significant if and only if it affects the of the measurement

Q43 A number N is writen as $N=Ax10^{p}$, where A is a number between 1 and 10 and p is an integer. In this form N is said to be expressed in

Q44 is the more accurate between the measurements 40.0 cm and 8.0 cm of length

Q45 A smaller measurement is more for the same accuracy

Q46 The maximum possible error in the measurement of length using the metre scale is _.

Q47 The current I passing through a silicon diode is related to potential difference V across it by $$I=I_{o}exp(eV/2kT)$$, where $$I_{o}$$ is a constant, e the electronic charge, k the Boltzmann's constant and T the absolute temperature. lnI was experimentally plotted against V at a given value of T. The slope of the graph is _.

Q48 n an experiment to verify Boyle's law the P (pressure) was plotted against of the volume V to obtain a linear graph that passes through the origin

Q49 The equation $$x=at^b$$ is suggested for the variation of two quantities x and t where a and b are constants. The corresponding equation of a straight line graph that may be plotted from experimental values of x and t is _.

Q50 In an experiment to determine the value of g using simple pendulum, $$T^2$$ was plottd on the ordinate (vertical axis) and l on the abscissa (horizontal axis), where T and l are the period and length of the pendulum respectively.The value of g was determined to be $$9.72ms^-2$$.The value of the slope s to 2 decimal places was . Take $pi=22/7$

Q51 The figure shown is an experimental set-up to determine the coefficient of static friction between two wooden surfaces in contact and relative motion. A wooden block of mass $$m_{1}$$ resting on a wooden bench is connected to a freely hanging block of mass $$m_{2}$$ by a light inextensible string which passes over a light pulley. A frictional force f opposes the relative motion of the surfaces. Which of the following correctly gives the acceleration of the system when the block begins to slide across the bench?
$$\frac{\mu{m_{1}}}{m_{1}+m_{2}}$$
$$\frac{\mu{m_{1}}}{m_{1}-m_{2}}$$
$$\frac{(m_{2}{+}\mu{m_{1}})}{m_{1}-m_{2}}$$
$$\frac{(m_{2}{-}\mu{m_{1}})}{m_{1}+m_{2}}$$

Q52 The figure shown is an experimental set-up to determine the coefficient of static friction between two wooden surfaces in contact and relative motion. A wooden block of mass $$m_{1}$$ resting on a wooden bench is connected to a freely hanging block of mass $$m_{2}$$ by a light inextensible string which passes over a light pulley. A frictional force f opposes the relative motion of the surfaces. Which of the following correctly gives the coefficient $$\mu$$ of static friction when the block is at the verge of sliding across the bench ?
$$\frac{m_{1}}{m_{2}}$$
$$\frac{m_{2}}{m_{1}}$$
$$m_{2}m_{1}$$
$$m_{2}+m_{1}$$

Q53 Determine the error in the measurement of sine of $$30 \pm {0.5^{o}}$$
$$\pm{0.05}$$
$$\pm{0.008}$$
$$\pm{0.002}$$
$$\pm{0.001}$$

Q54 The length of each side of a cube measured with verier callipers is 30mm.If the venier callipers can be read with an uncertainty of $$\pm{ 0.14}mm$$, what does this give for approximate uncertainty in the value of its volume?
1%
0.005%
0.02%
0.01%

Q55 Two lengths $$L_{1} = 1.746 \pm {0.010}m$$ and $$L_{2} = 1.507\pm {0.010}m$$ are obtained by measurement. $$L_{1} + L_{2}$$ = ---------------
$$3.253\pm {0.014}m$$
$$3.253\pm{ 0.02}m$$
$$3.253pm {0.10}m$$
$$3.253pm {0.001}m$$

Q56 How would the final result of the repeated measurement of the diameter of a test-tube given as 3.69, 3.67, 3.68, 3.66 in cm be expressed?
$$3.68 \pm {0.0012}$$
$$3.68 \pm {0.005}$$
$$3.68 \pm {0.015}$$
$$3.68\pm{0.08}$$

Q57 A student repeatedly measured the length of a simple pendulum and recorded the results in centimetre as: 36.9, 36.7, 36.8 and 36.6. What is the precision index of this measurement in cm?
0.108
36.75
0.054
0.0269

Q58 The effect of draught in an a simple pendulum experiment is to
cause the oscillation to occur in multiple planes
increase the frequency of the oscillation
decrease the frequency of the oscillation
increase the period of the oscillation

Q59 In recording measured values, a digit is significant if and only if it affects the -------------- of the measurement
absolute error
relative error
inherent error
truncation error

Q60 A number N is writen as $$N=A\times10^{p}$$, where A is a number between 1 and 10 and p is an integer. In this form N is said to be expressed in
relative error mode
scientific notation
floating point form
absolute error mode

Q61 A smaller measurement is more ------------ for the same accuracy
indeteminate
inaccurate
accurate
precise

Q62 The maximum possible error in the measurement of length in cm using the metre scale is ----------------
0.5
0.05
0.005
0.0005

Q63 To plot the graph of a set of experimental data, which of the following is NOT necessary?
choose appropriate scales
label the axes with the quantities and units to be plotted
label the axis with the usual x and y
draw the line of best fit through the plotted points

Q64 In an experiment to verify Boyle's law, pressure P was plotted against ----------------- of volume V to obtain a linear graph that passes through the origin
expV
$V^{2}$
1/V
logV

Q65 Which of the following is NOT correct about objects which are wholly or partially immersed in a fluid?
if the upthrust is less than the weight the object sinks
if the upthrust is greater than the weight the object rises
if the upthrust is less than the weight the object rises
if the upthrust is equal to the weight the object floats

Q66 Which of the following instruments is used for measuring the density of liquid?
hypsometer
hydrometer
hygrometer
hydromanometer

Q67 Which of the following does NOT define relative density of a liquid?
density of the liquid/density of equal volume water
mass of liquid/mass of equal volume water
weight of the liquid/weight of equal volume of water
viscosity of the liquid/viscosity of equal volume of water

Q68 From your knowledge of friction forces which of the following is NOT correct?
friction depends on the area of the surfaces in contact
friction depends on the normal reaction between the surfaces in contact
friction does not depend on the relative velocity of the surfaces in contact
friction depends on the nature of the surfaces in contact

Q69 A student wants to use the inclined plane to measure the coefficient of friction but he was not supplied with a protractor. He measures the height h and the horizontal distance of the free end of the plane from the floor x when the wooden block on the plane just begins to move. Which of the following correctly gives the coefficient of fricrion?
h/x
sin(h/x)
tan(h/x)
cos(h/x)

Q70 In an experiment to determine the coefficient of friction using the inclined plane, which of the following gives the coefficient fo friction, where a is the angle of the inclined plane?
Angle A plotted on the vertical axis against sinA on the horizontal
sinA plotted on the vertical axis against cosA plotted on the horizontal axis
1/sinA plotted on the vertical axis against 1/cosA plotted on the horizontal axis
1/cosA plotted on the vertical axis against sinA plotted on the horizontal axis

Q71 A wooden block is placed on a wooden inclined plane and the angle of the incline gradually increased to 30 degrees at which the block is at the verge of sliding down the incline. What is the coefficient of static friction between the block and the surface of the incline?
0.866
0.577
0.500
0.005

Q72 Which of the following is NOT a necessary precaution in experiments involving the method of mixtures?
ensuring that water in the calorimeter does not spill
ensuring that water is not transfered from the beaker with the hot object to the mixture
quickly transfering the hot object into the mixture
add a little amount of water from time to time to the mixture to compensate for losses due to evaporation

Q73 Determine the quantity of heat required to convert 1kg of ice at $${-}20$$ degrees Celcius to water at 100 degrees celcius? Specific heat capacities of water and ice water are 2302 J/kgK and 4186 J/kgK respectively
$$8.0\times{10^{5}}J$$
$$4.0\times{10^{3}}J$$
$$6.0\times{10^{6}}J$$
$3.0\times{10^{5}}J$$

Q74 The method of mixtures depends on the principle of --------------
conservation of momentum
conservation of energy
conservation of charge
conservation of angular momentum

Q75 In an experiment to determine the surface tension of water, the travelling microscope is used to determine -------------
external diameter of the capillary tube
height of the capillary rise of water in the tube
surface tension of water
density of water

Q76 In an experiment to determine the surface tension of a liquid by the capillary rise method, the surface tension depends on all of the following EXCEPT------------
radius of the capillary tube
the height of the liquid column
density of liquid
compressibilty of liquid

Q77 The figure shows the analysis of the oscillation of a simple pendulum. A small spherical bob suspended from a rigid support by a light inextensible string of length l is given a small angular displacement $$\theta$$ from its equilibrium position. If angle $$\theta$$ is very small and the bob swings along the arc with angular frequency $$\omega$$, which of the flollowing is NOT correct about the resultant simple harmonic oscillation of the system?
$$m\frac{\mathrm{d} ^2x}{\mathrm{d} x^2}+\omega^2x=0$$
$$\frac{\mathrm{d} ^2x}{\mathrm{d} x^2}+\omega^2x=0$$
$$\omega{=}\sqrt{\frac{l}{g}}$$
$$a=-\frac{g}{l}x$$

Q78 The figure shows the analysis of the oscillation of a simple pendulum. A small spherical bob suspended from a rigid support by a light inextensible string of length l is given a small angular displacement $$\theta$$ from its equilibrium position. If angle $$\theta$$ is very small, which of the flollowing correctly gives the acceleration of the system?
$$-\frac{g}{l}$$
$$-\frac{l}{g}x$$
$$-\frac{g}{l}x$$
$$-\frac{l}{g}$$

Q79 The figure shows the analysis of the oscillation of a simple pendulum. A small spherical bob suspended from a rigid support by a light inextensible string of length l is given a small angular displacement $$\theta$$ from its equilibrium position. What is the magnitude of the tension in the string?
$$mgtan\theta$$
$$mgcos\theta$$
$$mgsin\theta$$
$$mgcot\theta$$

Q80 The figure shows the analysis of the oscillation of a simple pendulum. A small spherical bob suspended from a rigid support by a light inextensible string of length l is given a small angular displacement $$\theta$$ from its equilibrium position. What is the magnitude of the restorinf force F?
$$mgtan\theta$$
$$mgcos\theta$$
$$mgsin\theta$$
$$mgcot\theta$$

Q81 From the graph, calculate the acceleration of the motion investigated in the experiment
$$0.25ms^{-2}$$
$$0.20ms^{-2}$$
$$1.5ms^{-2}$$
$$0.0ms^{-2}$$

Q82 From the graph, determine the intercept on the v-axis
$$0.3ms^{-1}$$
$$0.0ms^{-1}$$
$$1.5ms^{-1}$$
$$0.1ms^{-1}$$

Q83 From the graph, determine the time for which the velocity is $$1.5 ms^{-1}$$
6.2s
1.5s
3.2s
0.0s

Q84 What is the frequency of oscillation of a simple pendulum which makes 50 oscillations in 24.4 seconds?
0.231 Hz
0.041 Hz
0.488 Hz
2.049 Hz

Q85 In an experiment, 20 complete osillations were made in 14 .3 seconds. Determine the square of the period $T^{2}$
0.511
0.143
1.432
4.891

Q86 One of the following precuations in experiments involving the determination of the period of a simple pendulum given is NOT correct
preventing draught
reading the values of length or time with the eye placed vertically against scale marks
starting the stop watch and the oscillation simultaneously
using small angular displacements from equilibrium position

Q87 An experimental observation was written in terms of scientific notation as $$A \times 10^n$$, where n is an integer. The value of A must
be greater than 10
be less than zero
lie between 1 and 10
be zero

Q88 Which of the following is NOT true in the experiment to determine the acceleration due to gravity by means of a simple pendulum from an inaccessible height, where h is the height of the bob from the floor and H the inaccessible height?
$$T = 2\pi\sqrt{\frac{ H - h}{g}}$$
The intercept on the $$T^{2}$$- axis for $$T^{2}$$ plotted against h gives the inaccessible height
The graph of $$T^2$$ against h is linear
the slope of $$T^{2}$$ plotted against h is negative

Q89 Which of the following is an appropriate unit of measurement of distance between two cities?
mm
cm
m
km

Q90 In an experiment to verfy Newton's law of cooling, the temperature of hot water in a calorimeter. T/degree celcius is plotted against time t/min. Which of the following is true about the graph?
the graph is linear and parallel to the T-axis
the slope of the graph is positive
the slope of the graph is negative
the graph is hyperbola

Q91 A student recorded the length of a piece of wire measured with the meter scale as 98.6cm. What is the relative error in the measurement?
0.0005
0.005
0.05
0.5

Q92 The smallest scale division of a stop watch is 0.1s. Calculate the possible error in the measurement of time recorded as 7.4s by an experimenter using the stop watch
0.1
0.02
0.05
0.007

Q93 Which of the following is correct?
the greater the possible error the greater the precision of the measurement
the less the possible error the greater the precision of the measurement
the less the possible error the less the precision of the measurement
the geater the possible error the less the precision of the measurement

Q94 The maximum possible error in a measurement is ----------
1/2 of the smallest scale division of the instrument used
the same as the smallest scale division of the instrument used
twice the smallest scale division of the instrument used
zero

Q95 In an experiment to determine the acceleration due to gravity g using the simple pendulum, $$T^2$$ was plotted on the vertical axis and $$l$$ on horizontal axis. The graph
has an intercept on the $T^2$-axis
has an intercept on the l-axis
passes through the origin
is parallel to the l-axis

Q96 In an experiment involving the vertical oscillation of a spring-mass system carrying different loads, the formula connecting the period of oscillation T, the mass M and the stiffness k was given as $$T=2\pi\sqrt{\frac{M+m}{k}}$$, where, m is the effective mass. If $$T^{2}$$ was plotted on the ordinate against $$M$$ on the abscissa, then the slope of the graph was found to be equal to
$$\frac{k}{4\pi^{2}m}$$
$$\frac{k}{4\pi^{2}}$$
$$\frac{4\pi^{2}}{k}$$
$$\frac{4\pi^{2}m}{k}$$

Q97 In an experiment involving the vertical oscillation of a spring-mass system carrying different loads, the formula connecting the period of oscillation T, the mass M and the stiffness k was given as $$T=2\pi\sqrt{\frac{M+m}{k}}$$, where, m is the effective mass. If $$T^{2}$$ was plotted on the ordinate against $$M$$ on the abscissa, then the effective mass was found to be
the slope of the graph
the inverse of the slope of the graph
the intercept on $$T^{2}$$-axis
the inverse of the ontercept on $$T^{2}$$-axis

Q98 The resistance R of a coil varies with temperature T according to the formula $$R=kT^{n}$$ , where k is a constant and n an integer. When the relation is linearise and plotted appropriately, from which of the following can the value of k correctly be obtained?
slope of the graph
intercept on the vertical axis
intercept on the horizontal axis
inverse of the slope of the graph

Q99 The resistance R of a coil varies with temperature T according to the formula $$R=kT^{n}$$ , where k is a constant and n an integer. When the relation is linearise and plotted appropriately, which of the following correctly gives the value n?
slope of the graph
intercept on the vertical axis
intercept on the horizontal axis
inverse of the intercept on the vertical axis

Q100 The resistance R of a coil varies with temperature T according to the formula $$R=kT^{n}$$ , where k is a constant and n an integer. Linearising the relation gives
$$R=nT-k$$
$$logR=nlogT+logk$$
$$logR=nlogT-logk$$
$$R=nT+k$$

Q101 In an experiment, the function $$y={-}ax{^2} +bx+c$$, where a, b and c are constant, was plotted with y on the vertical axis and x on the horizontal axis. At maximum point on the graph, the tangent to the curve is to the x-axis?

Q102 The instrument usually used for measuring the internal diameter of a test-tube in the laboratory is

Q103 In the laboratory, the device usually used for measuring the diameter of a piece of wire is called

Q104 The statement "the upthrust experienced by an object that is wholly or partially immersed in a fluid is equal to the weight of the liquid displaced" is the principle

Q105 The maximum displacement of an oscillating from its equilibrium position is referred to as its

Q106 The inverse of the period of oscillation is the same as its

Q107 If n complete oscillations are made in t seconds, then the period T of oscillation is given as T= s.

Q108 In experiments involving oscillations, the number of complete oscllations per unit time is the of the oscillation

Q109 In general, a device used for measuring mass in the laboratory is called

Q110 In practical physics it advicable to display your obsevation data in an all-inclusive table known as table

Q111 Relative density of a liquid or granular substance not soluble in water can be experimentally determined using an apparatus known as relative density or bottle

Q112 An experiment was performed to determine the corfficient of friction using the scale pan or slot-weights method. A graph of the tension T in the string connecting the block on a bench and passing over a pulley to a freely hanging pan or slot-weighs was plotted against the weight W of the block. The slope $$\frac{\Delta{T}}{\Delta{W}}$$ gives the

Q113 The coefficient of friction between two surfaces is defined the ratio of the frictional force to to the surfaces

Q114 To determine the coefficient of friction between two surfaces we can place a block of material such as wood on an and gradually increase its angle until the block just begins to slide

Q115 In all experiments involving the method of mixtures (calorimetry), uniform temperature of the mixture is maintained by continually and gently it.

Q116 In an experiment to determine the specfic heat of fusion of ice the calorimeter must be to prevent loss of heat to the surrounding

Q117 The temperature at which, theoretically all thermal motions will cease is called temperature

Q118 In an experiment to verify Boyle's law, a student plotted P against V. His graph is a

Q119 In an experiment to deternine the surface tension of water by the capillary rise method, the instrument called is used to measure the capillary rise

Q120 For a loaded spiral spring, provided the of the spring is not exceeded, we write, F = -kx, where the symbols have the usual meaning.

Q121 The equation of a simple harmonic oscillator takes the form $a ={-} \omega^{2}$x. The symbols have their usual. The equivalent of $$\omega^{2}$$ in the case of a simple pendulum is

Q122 The motion of a simple harmonic oscillator is such that the acceleration is in direction to the displacement from equilibrium position

Q123 In simple harmonic motion, the restoring force F obeys 's law for small displacements from equilibrium position

Q124 To obtain a suitable spread of the plotted points on the graphed paper, a suitable must be chosen for each axis of the graph

Q125 In a simple pendulum experiment, $$T^{2} (s^{2})$$ is plotted on the vertical axis while is plotted on the horizontal axis

Q126 A straight line joining most of the plotted points with the rest of the plotted points on either sides of the line is called line of

Q127 The slope of the tangent to a curve which is parallel to the horizontal axis of the graph is

Q128 The slope of a graph is obtained from a suitable of slope drawn on the graph

Q129 A quantity to be measured as value is independent of the process of measurement

Q130 An experiment which gives a straight line graph with positive intercepts on both axes of the graph has a An experiment which gives a straight line graph with positive intercepts on both axes of the graph has a slope

Q131 When writing the results of an experimental observation in terms of significant digits, all non-zero digits are

Q132 The resulting temperature when 1kg of ice at 0 degrees Celcius is mixed with 9kg of water at 50 degress Celcius is to the nearest whole number.The specific capacity of water is 4200J/kg/K,the specific latent heat of fusion of ice is 330 000J/kg

Q133 A wooden block is at the verge of sliding freely down a wooden inclined plane when the inclination is 20degrees. The coeficient of limiting friction is to 2 decimal places

Q134 A mass of 150g when hung on a spiral spring stretches it 40cm. Assuming the spring is Hookean, the period of oscillation of the mass when slightly displaced and released is to 2 decimal places

Q135 In an experiment,measurements of variables were repeated in order to minimise

Q136 The simple pendulum experiment is used to determine an inaccessible height H using the relation $T=\pi\sqrt(\frac{(H-h)}{g}))$, where h is the height of the bob from the floor.The inaccessible height is obtainable from the of the graph of $T^{2}$ plotted against h

Q137 The displacement s of a trolley as a funtion of time is given as $$s+ds=0.63\pm0.02$$ for $$t+dt=1.71pm0.10$$s.The error dv in the measurement of velocity v is to 2 decimal places.

Q138 The precision index for the set of data 3.69,3.67,3.68,3.69,3.68,3.69,3.66,3.67 is to 3 decimal places

Q139 Errors that might result in measured values which are consistently too high or too low are called errors

Q140 The sum of the measurements 2.11m, 2.1546m and 2.125m may be rounded off as

Q141 The product of two measurements 1.23cm and 2.3cm should be rounded off as .

Q142 In recording measured values, a digit is significant if and only if it affects the of the measurement

Q143 A number N is writen as $N=Ax10^{p}$, where A is a number between 1 and 10 and p is an integer. In this form N is said to be expressed in

Q144 is the more accurate between the measurements 40.0 cm and 8.0 cm of length

Q145 A smaller measurement is more for the same accuracy

Q146 The maximum possible error in the measurement of length using the metre scale is _.

Q147 The current I passing through a silicon diode is related to potential difference V across it by $$I=I_{o}exp(eV/2kT)$$, where $$I_{o}$$ is a constant, e the electronic charge, k the Boltzmann's constant and T the absolute temperature. lnI was experimentally plotted against V at a given value of T. The slope of the graph is _.

Q148 n an experiment to verify Boyle's law the P (pressure) was plotted against of the volume V to obtain a linear graph that passes through the origin

Q149 The equation $$x=at^b$$ is suggested for the variation of two quantities x and t where a and b are constants. The corresponding equation of a straight line graph that may be plotted from experimental values of x and t is _.

Q150 In an experiment to determine the value of g using simple pendulum, $$T^2$$ was plottd on the ordinate (vertical axis) and l on the abscissa (horizontal axis), where T and l are the period and length of the pendulum respectively.The value of g was determined to be $$9.72ms^-2$$.The value of the slope s to 2 decimal places was . Take $pi=22/7$

Q151 The figure shown is an experimental set-up to determine the coefficient of static friction between two wooden surfaces in contact and relative motion. A wooden block of mass $$m_{1}$$ resting on a wooden bench is connected to a freely hanging block of mass $$m_{2}$$ by a light inextensible string which passes over a light pulley. A frictional force f opposes the relative motion of the surfaces. Which of the following correctly gives the acceleration of the system when the block begins to slide across the bench?
$$\frac{\mu{m_{1}}}{m_{1}+m_{2}}$$
$$\frac{\mu{m_{1}}}{m_{1}-m_{2}}$$
$$\frac{(m_{2}{+}\mu{m_{1}})}{m_{1}-m_{2}}$$
$$\frac{(m_{2}{-}\mu{m_{1}})}{m_{1}+m_{2}}$$

Q152 The figure shown is an experimental set-up to determine the coefficient of static friction between two wooden surfaces in contact and relative motion. A wooden block of mass $$m_{1}$$ resting on a wooden bench is connected to a freely hanging block of mass $$m_{2}$$ by a light inextensible string which passes over a light pulley. A frictional force f opposes the relative motion of the surfaces. Which of the following correctly gives the coefficient $$\mu$$ of static friction when the block is at the verge of sliding across the bench ?
$$\frac{m_{1}}{m_{2}}$$
$$\frac{m_{2}}{m_{1}}$$
$$m_{2}m_{1}$$
$$m_{2}+m_{1}$$

Q153 Determine the error in the measurement of sine of $$30 \pm {0.5^{o}}$$
$$\pm{0.05}$$
$$\pm{0.008}$$
$$\pm{0.002}$$
$$\pm{0.001}$$

Q154 The length of each side of a cube measured with verier callipers is 30mm.If the venier callipers can be read with an uncertainty of $$\pm{ 0.14}mm$$, what does this give for approximate uncertainty in the value of its volume?
1%
0.005%
0.02%
0.01%

Q155 Two lengths $$L_{1} = 1.746 \pm {0.010}m$$ and $$L_{2} = 1.507\pm {0.010}m$$ are obtained by measurement. $$L_{1} + L_{2}$$ = ---------------
$$3.253\pm {0.014}m$$
$$3.253\pm{ 0.02}m$$
$$3.253pm {0.10}m$$
$$3.253pm {0.001}m$$

Q156 How would the final result of the repeated measurement of the diameter of a test-tube given as 3.69, 3.67, 3.68, 3.66 in cm be expressed?
$$3.68 \pm {0.0012}$$
$$3.68 \pm {0.005}$$
$$3.68 \pm {0.015}$$
$$3.68\pm{0.08}$$

Q157 A student repeatedly measured the length of a simple pendulum and recorded the results in centimetre as: 36.9, 36.7, 36.8 and 36.6. What is the precision index of this measurement in cm?
0.108
36.75
0.054
0.0269

Q158 The effect of draught in an a simple pendulum experiment is to
cause the oscillation to occur in multiple planes
increase the frequency of the oscillation
decrease the frequency of the oscillation
increase the period of the oscillation

Q159 In recording measured values, a digit is significant if and only if it affects the -------------- of the measurement
absolute error
relative error
inherent error
truncation error

Q160 A number N is writen as $$N=A\times10^{p}$$, where A is a number between 1 and 10 and p is an integer. In this form N is said to be expressed in
relative error mode
scientific notation
floating point form
absolute error mode

Q161 A smaller measurement is more ------------ for the same accuracy
indeteminate
inaccurate
accurate
precise

Q162 The maximum possible error in the measurement of length in cm using the metre scale is ----------------
0.5
0.05
0.005
0.0005

Q163 To plot the graph of a set of experimental data, which of the following is NOT necessary?
choose appropriate scales
label the axes with the quantities and units to be plotted
label the axis with the usual x and y
draw the line of best fit through the plotted points

Q164 In an experiment to verify Boyle's law, pressure P was plotted against ----------------- of volume V to obtain a linear graph that passes through the origin
expV
$V^{2}$
1/V
logV

Q165 Which of the following is NOT correct about objects which are wholly or partially immersed in a fluid?
if the upthrust is less than the weight the object sinks
if the upthrust is greater than the weight the object rises
if the upthrust is less than the weight the object rises
if the upthrust is equal to the weight the object floats

Q166 Which of the following instruments is used for measuring the density of liquid?
hypsometer
hydrometer
hygrometer
hydromanometer

Q167 Which of the following does NOT define relative density of a liquid?
density of the liquid/density of equal volume water
mass of liquid/mass of equal volume water
weight of the liquid/weight of equal volume of water
viscosity of the liquid/viscosity of equal volume of water

Q168 From your knowledge of friction forces which of the following is NOT correct?
friction depends on the area of the surfaces in contact
friction depends on the normal reaction between the surfaces in contact
friction does not depend on the relative velocity of the surfaces in contact
friction depends on the nature of the surfaces in contact

Q169 A student wants to use the inclined plane to measure the coefficient of friction but he was not supplied with a protractor. He measures the height h and the horizontal distance of the free end of the plane from the floor x when the wooden block on the plane just begins to move. Which of the following correctly gives the coefficient of fricrion?
h/x
sin(h/x)
tan(h/x)
cos(h/x)

Q170 In an experiment to determine the coefficient of friction using the inclined plane, which of the following gives the coefficient fo friction, where a is the angle of the inclined plane?
Angle A plotted on the vertical axis against sinA on the horizontal
sinA plotted on the vertical axis against cosA plotted on the horizontal axis
1/sinA plotted on the vertical axis against 1/cosA plotted on the horizontal axis
1/cosA plotted on the vertical axis against sinA plotted on the horizontal axis

Q171 A wooden block is placed on a wooden inclined plane and the angle of the incline gradually increased to 30 degrees at which the block is at the verge of sliding down the incline. What is the coefficient of static friction between the block and the surface of the incline?
0.866
0.577
0.500
0.005

Q172 Which of the following is NOT a necessary precaution in experiments involving the method of mixtures?
ensuring that water in the calorimeter does not spill
ensuring that water is not transfered from the beaker with the hot object to the mixture
quickly transfering the hot object into the mixture
add a little amount of water from time to time to the mixture to compensate for losses due to evaporation

Q173 Determine the quantity of heat required to convert 1kg of ice at $${-}20$$ degrees Celcius to water at 100 degrees celcius? Specific heat capacities of water and ice water are 2302 J/kgK and 4186 J/kgK respectively
$$8.0\times{10^{5}}J$$
$$4.0\times{10^{3}}J$$
$$6.0\times{10^{6}}J$$
$3.0\times{10^{5}}J$$

Q174 The method of mixtures depends on the principle of --------------
conservation of momentum
conservation of energy
conservation of charge
conservation of angular momentum

Q175 In an experiment to determine the surface tension of water, the travelling microscope is used to determine -------------
external diameter of the capillary tube
height of the capillary rise of water in the tube
surface tension of water
density of water

Q176 In an experiment to determine the surface tension of a liquid by the capillary rise method, the surface tension depends on all of the following EXCEPT------------
radius of the capillary tube
the height of the liquid column
density of liquid
compressibilty of liquid

Q177 The figure shows the analysis of the oscillation of a simple pendulum. A small spherical bob suspended from a rigid support by a light inextensible string of length l is given a small angular displacement $$\theta$$ from its equilibrium position. If angle $$\theta$$ is very small and the bob swings along the arc with angular frequency $$\omega$$, which of the flollowing is NOT correct about the resultant simple harmonic oscillation of the system?
$$m\frac{\mathrm{d} ^2x}{\mathrm{d} x^2}+\omega^2x=0$$
$$\frac{\mathrm{d} ^2x}{\mathrm{d} x^2}+\omega^2x=0$$
$$\omega{=}\sqrt{\frac{l}{g}}$$
$$a=-\frac{g}{l}x$$

Q178 The figure shows the analysis of the oscillation of a simple pendulum. A small spherical bob suspended from a rigid support by a light inextensible string of length l is given a small angular displacement $$\theta$$ from its equilibrium position. If angle $$\theta$$ is very small, which of the flollowing correctly gives the acceleration of the system?
$$-\frac{g}{l}$$
$$-\frac{l}{g}x$$
$$-\frac{g}{l}x$$
$$-\frac{l}{g}$$

Q179 The figure shows the analysis of the oscillation of a simple pendulum. A small spherical bob suspended from a rigid support by a light inextensible string of length l is given a small angular displacement $$\theta$$ from its equilibrium position. What is the magnitude of the tension in the string?
$$mgtan\theta$$
$$mgcos\theta$$
$$mgsin\theta$$
$$mgcot\theta$$

Q180 The figure shows the analysis of the oscillation of a simple pendulum. A small spherical bob suspended from a rigid support by a light inextensible string of length l is given a small angular displacement $$\theta$$ from its equilibrium position. What is the magnitude of the restorinf force F?
$$mgtan\theta$$
$$mgcos\theta$$
$$mgsin\theta$$
$$mgcot\theta$$

Q181 From the graph, calculate the acceleration of the motion investigated in the experiment
$$0.25ms^{-2}$$
$$0.20ms^{-2}$$
$$1.5ms^{-2}$$
$$0.0ms^{-2}$$

Q182 From the graph, determine the intercept on the v-axis
$$0.3ms^{-1}$$
$$0.0ms^{-1}$$
$$1.5ms^{-1}$$
$$0.1ms^{-1}$$

Q183 From the graph, determine the time for which the velocity is $$1.5 ms^{-1}$$
6.2s
1.5s
3.2s
0.0s

Q184 What is the frequency of oscillation of a simple pendulum which makes 50 oscillations in 24.4 seconds?
0.231 Hz
0.041 Hz
0.488 Hz
2.049 Hz

Q185 In an experiment, 20 complete osillations were made in 14 .3 seconds. Determine the square of the period $T^{2}$
0.511
0.143
1.432
4.891

Q186 One of the following precuations in experiments involving the determination of the period of a simple pendulum given is NOT correct
preventing draught
reading the values of length or time with the eye placed vertically against scale marks
starting the stop watch and the oscillation simultaneously
using small angular displacements from equilibrium position

Q187 An experimental observation was written in terms of scientific notation as $$A \times 10^n$$, where n is an integer. The value of A must
be greater than 10
be less than zero
lie between 1 and 10
be zero

Q188 Which of the following is NOT true in the experiment to determine the acceleration due to gravity by means of a simple pendulum from an inaccessible height, where h is the height of the bob from the floor and H the inaccessible height?
$$T = 2\pi\sqrt{\frac{ H - h}{g}}$$
The intercept on the $$T^{2}$$- axis for $$T^{2}$$ plotted against h gives the inaccessible height
The graph of $$T^2$$ against h is linear
the slope of $$T^{2}$$ plotted against h is negative

Q189 Which of the following is an appropriate unit of measurement of distance between two cities?
mm
cm
m
km

Q190 In an experiment to verfy Newton's law of cooling, the temperature of hot water in a calorimeter. T/degree celcius is plotted against time t/min. Which of the following is true about the graph?
the graph is linear and parallel to the T-axis
the slope of the graph is positive
the slope of the graph is negative
the graph is hyperbola

Q191 A student recorded the length of a piece of wire measured with the meter scale as 98.6cm. What is the relative error in the measurement?
0.0005
0.005
0.05
0.5

Q192 The smallest scale division of a stop watch is 0.1s. Calculate the possible error in the measurement of time recorded as 7.4s by an experimenter using the stop watch
0.1
0.02
0.05
0.007

Q193 Which of the following is correct?
the greater the possible error the greater the precision of the measurement
the less the possible error the greater the precision of the measurement
the less the possible error the less the precision of the measurement
the geater the possible error the less the precision of the measurement

Q194 The maximum possible error in a measurement is ----------
1/2 of the smallest scale division of the instrument used
the same as the smallest scale division of the instrument used
twice the smallest scale division of the instrument used
zero

Q195 In an experiment to determine the acceleration due to gravity g using the simple pendulum, $$T^2$$ was plotted on the vertical axis and $$l$$ on horizontal axis. The graph
has an intercept on the $T^2$-axis
has an intercept on the l-axis
passes through the origin
is parallel to the l-axis

Q196 In an experiment involving the vertical oscillation of a spring-mass system carrying different loads, the formula connecting the period of oscillation T, the mass M and the stiffness k was given as $$T=2\pi\sqrt{\frac{M+m}{k}}$$, where, m is the effective mass. If $$T^{2}$$ was plotted on the ordinate against $$M$$ on the abscissa, then the slope of the graph was found to be equal to
$$\frac{k}{4\pi^{2}m}$$
$$\frac{k}{4\pi^{2}}$$
$$\frac{4\pi^{2}}{k}$$
$$\frac{4\pi^{2}m}{k}$$

Q197 In an experiment involving the vertical oscillation of a spring-mass system carrying different loads, the formula connecting the period of oscillation T, the mass M and the stiffness k was given as $$T=2\pi\sqrt{\frac{M+m}{k}}$$, where, m is the effective mass. If $$T^{2}$$ was plotted on the ordinate against $$M$$ on the abscissa, then the effective mass was found to be
the slope of the graph
the inverse of the slope of the graph
the intercept on $$T^{2}$$-axis
the inverse of the ontercept on $$T^{2}$$-axis

Q198 The resistance R of a coil varies with temperature T according to the formula $$R=kT^{n}$$ , where k is a constant and n an integer. When the relation is linearise and plotted appropriately, from which of the following can the value of k correctly be obtained?
slope of the graph
intercept on the vertical axis
intercept on the horizontal axis
inverse of the slope of the graph

Q199 The resistance R of a coil varies with temperature T according to the formula $$R=kT^{n}$$ , where k is a constant and n an integer. When the relation is linearise and plotted appropriately, which of the following correctly gives the value n?
slope of the graph
intercept on the vertical axis
intercept on the horizontal axis
inverse of the intercept on the vertical axis

Q200 The resistance R of a coil varies with temperature T according to the formula $$R=kT^{n}$$ , where k is a constant and n an integer. Linearising the relation gives
$$R=nT-k$$
$$logR=nlogT+logk$$
$$logR=nlogT-logk$$
$$R=nT+k$$

Q201 In an experiment, the function $$y={-}ax{^2} +bx+c$$, where a, b and c are constant, was plotted with y on the vertical axis and x on the horizontal axis. At maximum point on the graph, the tangent to the curve is to the x-axis?

Q202 The instrument usually used for measuring the internal diameter of a test-tube in the laboratory is

Q203 In the laboratory, the device usually used for measuring the diameter of a piece of wire is called

Q204 The statement "the upthrust experienced by an object that is wholly or partially immersed in a fluid is equal to the weight of the liquid displaced" is the principle

Q205 The maximum displacement of an oscillating from its equilibrium position is referred to as its

Q206 The inverse of the period of oscillation is the same as its

Q207 If n complete oscillations are made in t seconds, then the period T of oscillation is given as T= s.

Q208 In experiments involving oscillations, the number of complete oscllations per unit time is the of the oscillation

Q209 In general, a device used for measuring mass in the laboratory is called

Q210 In practical physics it advicable to display your obsevation data in an all-inclusive table known as table

Q211 Relative density of a liquid or granular substance not soluble in water can be experimentally determined using an apparatus known as relative density or bottle

Q212 An experiment was performed to determine the corfficient of friction using the scale pan or slot-weights method. A graph of the tension T in the string connecting the block on a bench and passing over a pulley to a freely hanging pan or slot-weighs was plotted against the weight W of the block. The slope $$\frac{\Delta{T}}{\Delta{W}}$$ gives the

Q213 The coefficient of friction between two surfaces is defined the ratio of the frictional force to to the surfaces

Q214 To determine the coefficient of friction between two surfaces we can place a block of material such as wood on an and gradually increase its angle until the block just begins to slide

Q215 In all experiments involving the method of mixtures (calorimetry), uniform temperature of the mixture is maintained by continually and gently it.

Q216 In an experiment to determine the specfic heat of fusion of ice the calorimeter must be to prevent loss of heat to the surrounding

Q217 The temperature at which, theoretically all thermal motions will cease is called temperature

Q218 In an experiment to verify Boyle's law, a student plotted P against V. His graph is a

Q219 In an experiment to deternine the surface tension of water by the capillary rise method, the instrument called is used to measure the capillary rise

Q220 For a loaded spiral spring, provided the of the spring is not exceeded, we write, F = -kx, where the symbols have the usual meaning.

Q221 The equation of a simple harmonic oscillator takes the form $a ={-} \omega^{2}$x. The symbols have their usual. The equivalent of $$\omega^{2}$$ in the case of a simple pendulum is

Q222 The motion of a simple harmonic oscillator is such that the acceleration is in direction to the displacement from equilibrium position

Q223 In simple harmonic motion, the restoring force F obeys 's law for small displacements from equilibrium position

Q224 To obtain a suitable spread of the plotted points on the graphed paper, a suitable must be chosen for each axis of the graph

Q225 In a simple pendulum experiment, $$T^{2} (s^{2})$$ is plotted on the vertical axis while is plotted on the horizontal axis

Q226 A straight line joining most of the plotted points with the rest of the plotted points on either sides of the line is called line of

Q227 The slope of the tangent to a curve which is parallel to the horizontal axis of the graph is

Q228 The slope of a graph is obtained from a suitable of slope drawn on the graph

Q229 A quantity to be measured as value is independent of the process of measurement

Q230 An experiment which gives a straight line graph with positive intercepts on both axes of the graph has a An experiment which gives a straight line graph with positive intercepts on both axes of the graph has a slope

Q231 When writing the results of an experimental observation in terms of significant digits, all non-zero digits are

Q232 The resulting temperature when 1kg of ice at 0 degrees Celcius is mixed with 9kg of water at 50 degress Celcius is to the nearest whole number.The specific capacity of water is 4200J/kg/K,the specific latent heat of fusion of ice is 330 000J/kg

Q233 A wooden block is at the verge of sliding freely down a wooden inclined plane when the inclination is 20degrees. The coeficient of limiting friction is to 2 decimal places

Q234 A mass of 150g when hung on a spiral spring stretches it 40cm. Assuming the spring is Hookean, the period of oscillation of the mass when slightly displaced and released is to 2 decimal places

Q235 In an experiment,measurements of variables were repeated in order to minimise

Q236 The simple pendulum experiment is used to determine an inaccessible height H using the relation $T=\pi\sqrt(\frac{(H-h)}{g}))$, where h is the height of the bob from the floor.The inaccessible height is obtainable from the of the graph of $T^{2}$ plotted against h

Q237 The displacement s of a trolley as a funtion of time is given as $$s+ds=0.63\pm0.02$$ for $$t+dt=1.71pm0.10$$s.The error dv in the measurement of velocity v is to 2 decimal places.

Q238 The precision index for the set of data 3.69,3.67,3.68,3.69,3.68,3.69,3.66,3.67 is to 3 decimal places

Q239 Errors that might result in measured values which are consistently too high or too low are called errors

Q240 The sum of the measurements 2.11m, 2.1546m and 2.125m may be rounded off as

Q241 The product of two measurements 1.23cm and 2.3cm should be rounded off as .

Q242 In recording measured values, a digit is significant if and only if it affects the of the measurement

Q243 A number N is writen as $N=Ax10^{p}$, where A is a number between 1 and 10 and p is an integer. In this form N is said to be expressed in

Q244 is the more accurate between the measurements 40.0 cm and 8.0 cm of length

Q245 A smaller measurement is more for the same accuracy

Q246 The maximum possible error in the measurement of length using the metre scale is _.

Q247 The current I passing through a silicon diode is related to potential difference V across it by $$I=I_{o}exp(eV/2kT)$$, where $$I_{o}$$ is a constant, e the electronic charge, k the Boltzmann's constant and T the absolute temperature. lnI was experimentally plotted against V at a given value of T. The slope of the graph is _.

Q248 n an experiment to verify Boyle's law the P (pressure) was plotted against of the volume V to obtain a linear graph that passes through the origin

Q249 The equation $$x=at^b$$ is suggested for the variation of two quantities x and t where a and b are constants. The corresponding equation of a straight line graph that may be plotted from experimental values of x and t is _.

Q250 In an experiment to determine the value of g using simple pendulum, $$T^2$$ was plottd on the ordinate (vertical axis) and l on the abscissa (horizontal axis), where T and l are the period and length of the pendulum respectively.The value of g was determined to be $$9.72ms^-2$$.The value of the slope s to 2 decimal places was . Take $pi=22/7$

Q251 The figure shown is an experimental set-up to determine the coefficient of static friction between two wooden surfaces in contact and relative motion. A wooden block of mass $$m_{1}$$ resting on a wooden bench is connected to a freely hanging block of mass $$m_{2}$$ by a light inextensible string which passes over a light pulley. A frictional force f opposes the relative motion of the surfaces. Which of the following correctly gives the acceleration of the system when the block begins to slide across the bench?
$$\frac{\mu{m_{1}}}{m_{1}+m_{2}}$$
$$\frac{\mu{m_{1}}}{m_{1}-m_{2}}$$
$$\frac{(m_{2}{+}\mu{m_{1}})}{m_{1}-m_{2}}$$
$$\frac{(m_{2}{-}\mu{m_{1}})}{m_{1}+m_{2}}$$

Q252 The figure shown is an experimental set-up to determine the coefficient of static friction between two wooden surfaces in contact and relative motion. A wooden block of mass $$m_{1}$$ resting on a wooden bench is connected to a freely hanging block of mass $$m_{2}$$ by a light inextensible string which passes over a light pulley. A frictional force f opposes the relative motion of the surfaces. Which of the following correctly gives the coefficient $$\mu$$ of static friction when the block is at the verge of sliding across the bench ?
$$\frac{m_{1}}{m_{2}}$$
$$\frac{m_{2}}{m_{1}}$$
$$m_{2}m_{1}$$
$$m_{2}+m_{1}$$

Q253 Determine the error in the measurement of sine of $$30 \pm {0.5^{o}}$$
$$\pm{0.05}$$
$$\pm{0.008}$$
$$\pm{0.002}$$
$$\pm{0.001}$$

Q254 The length of each side of a cube measured with verier callipers is 30mm.If the venier callipers can be read with an uncertainty of $$\pm{ 0.14}mm$$, what does this give for approximate uncertainty in the value of its volume?
1%
0.005%
0.02%
0.01%

Q255 Two lengths $$L_{1} = 1.746 \pm {0.010}m$$ and $$L_{2} = 1.507\pm {0.010}m$$ are obtained by measurement. $$L_{1} + L_{2}$$ = ---------------
$$3.253\pm {0.014}m$$
$$3.253\pm{ 0.02}m$$
$$3.253pm {0.10}m$$
$$3.253pm {0.001}m$$

Q256 How would the final result of the repeated measurement of the diameter of a test-tube given as 3.69, 3.67, 3.68, 3.66 in cm be expressed?
$$3.68 \pm {0.0012}$$
$$3.68 \pm {0.005}$$
$$3.68 \pm {0.015}$$
$$3.68\pm{0.08}$$

Q257 A student repeatedly measured the length of a simple pendulum and recorded the results in centimetre as: 36.9, 36.7, 36.8 and 36.6. What is the precision index of this measurement in cm?
0.108
36.75
0.054
0.0269

Q258 The effect of draught in an a simple pendulum experiment is to
cause the oscillation to occur in multiple planes
increase the frequency of the oscillation
decrease the frequency of the oscillation
increase the period of the oscillation

Q259 In recording measured values, a digit is significant if and only if it affects the -------------- of the measurement
absolute error
relative error
inherent error
truncation error

Q260 A number N is writen as $$N=A\times10^{p}$$, where A is a number between 1 and 10 and p is an integer. In this form N is said to be expressed in
relative error mode
scientific notation
floating point form
absolute error mode

Q261 A smaller measurement is more ------------ for the same accuracy
indeteminate
inaccurate
accurate
precise

Q262 The maximum possible error in the measurement of length in cm using the metre scale is ----------------
0.5
0.05
0.005
0.0005

Q263 To plot the graph of a set of experimental data, which of the following is NOT necessary?
choose appropriate scales
label the axes with the quantities and units to be plotted
label the axis with the usual x and y
draw the line of best fit through the plotted points

Q264 In an experiment to verify Boyle's law, pressure P was plotted against ----------------- of volume V to obtain a linear graph that passes through the origin
expV
$V^{2}$
1/V
logV

Q265 Which of the following is NOT correct about objects which are wholly or partially immersed in a fluid?
if the upthrust is less than the weight the object sinks
if the upthrust is greater than the weight the object rises
if the upthrust is less than the weight the object rises
if the upthrust is equal to the weight the object floats

Q266 Which of the following instruments is used for measuring the density of liquid?
hypsometer
hydrometer
hygrometer
hydromanometer

Q267 Which of the following does NOT define relative density of a liquid?
density of the liquid/density of equal volume water
mass of liquid/mass of equal volume water
weight of the liquid/weight of equal volume of water
viscosity of the liquid/viscosity of equal volume of water

Q268 From your knowledge of friction forces which of the following is NOT correct?
friction depends on the area of the surfaces in contact
friction depends on the normal reaction between the surfaces in contact
friction does not depend on the relative velocity of the surfaces in contact
friction depends on the nature of the surfaces in contact

Q269 A student wants to use the inclined plane to measure the coefficient of friction but he was not supplied with a protractor. He measures the height h and the horizontal distance of the free end of the plane from the floor x when the wooden block on the plane just begins to move. Which of the following correctly gives the coefficient of fricrion?
h/x
sin(h/x)
tan(h/x)
cos(h/x)

Q270 In an experiment to determine the coefficient of friction using the inclined plane, which of the following gives the coefficient fo friction, where a is the angle of the inclined plane?
Angle A plotted on the vertical axis against sinA on the horizontal
sinA plotted on the vertical axis against cosA plotted on the horizontal axis
1/sinA plotted on the vertical axis against 1/cosA plotted on the horizontal axis
1/cosA plotted on the vertical axis against sinA plotted on the horizontal axis

Q271 A wooden block is placed on a wooden inclined plane and the angle of the incline gradually increased to 30 degrees at which the block is at the verge of sliding down the incline. What is the coefficient of static friction between the block and the surface of the incline?
0.866
0.577
0.500
0.005

Q272 Which of the following is NOT a necessary precaution in experiments involving the method of mixtures?
ensuring that water in the calorimeter does not spill
ensuring that water is not transfered from the beaker with the hot object to the mixture
quickly transfering the hot object into the mixture
add a little amount of water from time to time to the mixture to compensate for losses due to evaporation

Q273 Determine the quantity of heat required to convert 1kg of ice at $${-}20$$ degrees Celcius to water at 100 degrees celcius? Specific heat capacities of water and ice water are 2302 J/kgK and 4186 J/kgK respectively
$$8.0\times{10^{5}}J$$
$$4.0\times{10^{3}}J$$
$$6.0\times{10^{6}}J$$
$3.0\times{10^{5}}J$$

Q274 The method of mixtures depends on the principle of --------------
conservation of momentum
conservation of energy
conservation of charge
conservation of angular momentum

Q275 In an experiment to determine the surface tension of water, the travelling microscope is used to determine -------------
external diameter of the capillary tube
height of the capillary rise of water in the tube
surface tension of water
density of water

Q276 In an experiment to determine the surface tension of a liquid by the capillary rise method, the surface tension depends on all of the following EXCEPT------------
radius of the capillary tube
the height of the liquid column
density of liquid
compressibilty of liquid

Q277 The figure shows the analysis of the oscillation of a simple pendulum. A small spherical bob suspended from a rigid support by a light inextensible string of length l is given a small angular displacement $$\theta$$ from its equilibrium position. If angle $$\theta$$ is very small and the bob swings along the arc with angular frequency $$\omega$$, which of the flollowing is NOT correct about the resultant simple harmonic oscillation of the system?
$$m\frac{\mathrm{d} ^2x}{\mathrm{d} x^2}+\omega^2x=0$$
$$\frac{\mathrm{d} ^2x}{\mathrm{d} x^2}+\omega^2x=0$$
$$\omega{=}\sqrt{\frac{l}{g}}$$
$$a=-\frac{g}{l}x$$

Q278 The figure shows the analysis of the oscillation of a simple pendulum. A small spherical bob suspended from a rigid support by a light inextensible string of length l is given a small angular displacement $$\theta$$ from its equilibrium position. If angle $$\theta$$ is very small, which of the flollowing correctly gives the acceleration of the system?
$$-\frac{g}{l}$$
$$-\frac{l}{g}x$$
$$-\frac{g}{l}x$$
$$-\frac{l}{g}$$

Q279 The figure shows the analysis of the oscillation of a simple pendulum. A small spherical bob suspended from a rigid support by a light inextensible string of length l is given a small angular displacement $$\theta$$ from its equilibrium position. What is the magnitude of the tension in the string?
$$mgtan\theta$$
$$mgcos\theta$$
$$mgsin\theta$$
$$mgcot\theta$$

Q280 The figure shows the analysis of the oscillation of a simple pendulum. A small spherical bob suspended from a rigid support by a light inextensible string of length l is given a small angular displacement $$\theta$$ from its equilibrium position. What is the magnitude of the restorinf force F?
$$mgtan\theta$$
$$mgcos\theta$$
$$mgsin\theta$$
$$mgcot\theta$$

Q281 From the graph, calculate the acceleration of the motion investigated in the experiment
$$0.25ms^{-2}$$
$$0.20ms^{-2}$$
$$1.5ms^{-2}$$
$$0.0ms^{-2}$$

Q282 From the graph, determine the intercept on the v-axis
$$0.3ms^{-1}$$
$$0.0ms^{-1}$$
$$1.5ms^{-1}$$
$$0.1ms^{-1}$$

Q283 From the graph, determine the time for which the velocity is $$1.5 ms^{-1}$$
6.2s
1.5s
3.2s
0.0s

Q284 What is the frequency of oscillation of a simple pendulum which makes 50 oscillations in 24.4 seconds?
0.231 Hz
0.041 Hz
0.488 Hz
2.049 Hz

Q285 In an experiment, 20 complete osillations were made in 14 .3 seconds. Determine the square of the period $T^{2}$
0.511
0.143
1.432
4.891

Q286 One of the following precuations in experiments involving the determination of the period of a simple pendulum given is NOT correct
preventing draught
reading the values of length or time with the eye placed vertically against scale marks
starting the stop watch and the oscillation simultaneously
using small angular displacements from equilibrium position

Q287 An experimental observation was written in terms of scientific notation as $$A \times 10^n$$, where n is an integer. The value of A must
be greater than 10
be less than zero
lie between 1 and 10
be zero

Q288 Which of the following is NOT true in the experiment to determine the acceleration due to gravity by means of a simple pendulum from an inaccessible height, where h is the height of the bob from the floor and H the inaccessible height?
$$T = 2\pi\sqrt{\frac{ H - h}{g}}$$
The intercept on the $$T^{2}$$- axis for $$T^{2}$$ plotted against h gives the inaccessible height
The graph of $$T^2$$ against h is linear
the slope of $$T^{2}$$ plotted against h is negative

Q289 Which of the following is an appropriate unit of measurement of distance between two cities?
mm
cm
m
km

Q290 In an experiment to verfy Newton's law of cooling, the temperature of hot water in a calorimeter. T/degree celcius is plotted against time t/min. Which of the following is true about the graph?
the graph is linear and parallel to the T-axis
the slope of the graph is positive
the slope of the graph is negative
the graph is hyperbola

Q291 A student recorded the length of a piece of wire measured with the meter scale as 98.6cm. What is the relative error in the measurement?
0.0005
0.005
0.05
0.5

Q292 The smallest scale division of a stop watch is 0.1s. Calculate the possible error in the measurement of time recorded as 7.4s by an experimenter using the stop watch
0.1
0.02
0.05
0.007

Q293 Which of the following is correct?
the greater the possible error the greater the precision of the measurement
the less the possible error the greater the precision of the measurement
the less the possible error the less the precision of the measurement
the geater the possible error the less the precision of the measurement

Q294 The maximum possible error in a measurement is ----------
1/2 of the smallest scale division of the instrument used
the same as the smallest scale division of the instrument used
twice the smallest scale division of the instrument used
zero

Q295 In an experiment to determine the acceleration due to gravity g using the simple pendulum, $$T^2$$ was plotted on the vertical axis and $$l$$ on horizontal axis. The graph
has an intercept on the $T^2$-axis
has an intercept on the l-axis
passes through the origin
is parallel to the l-axis

Q296 In an experiment involving the vertical oscillation of a spring-mass system carrying different loads, the formula connecting the period of oscillation T, the mass M and the stiffness k was given as $$T=2\pi\sqrt{\frac{M+m}{k}}$$, where, m is the effective mass. If $$T^{2}$$ was plotted on the ordinate against $$M$$ on the abscissa, then the slope of the graph was found to be equal to
$$\frac{k}{4\pi^{2}m}$$
$$\frac{k}{4\pi^{2}}$$
$$\frac{4\pi^{2}}{k}$$
$$\frac{4\pi^{2}m}{k}$$

Q297 In an experiment involving the vertical oscillation of a spring-mass system carrying different loads, the formula connecting the period of oscillation T, the mass M and the stiffness k was given as $$T=2\pi\sqrt{\frac{M+m}{k}}$$, where, m is the effective mass. If $$T^{2}$$ was plotted on the ordinate against $$M$$ on the abscissa, then the effective mass was found to be
the slope of the graph
the inverse of the slope of the graph
the intercept on $$T^{2}$$-axis
the inverse of the ontercept on $$T^{2}$$-axis

Q298 The resistance R of a coil varies with temperature T according to the formula $$R=kT^{n}$$ , where k is a constant and n an integer. When the relation is linearise and plotted appropriately, from which of the following can the value of k correctly be obtained?
slope of the graph
intercept on the vertical axis
intercept on the horizontal axis
inverse of the slope of the graph

Q299 The resistance R of a coil varies with temperature T according to the formula $$R=kT^{n}$$ , where k is a constant and n an integer. When the relation is linearise and plotted appropriately, which of the following correctly gives the value n?
slope of the graph
intercept on the vertical axis
intercept on the horizontal axis
inverse of the intercept on the vertical axis

Q300 The resistance R of a coil varies with temperature T according to the formula $$R=kT^{n}$$ , where k is a constant and n an integer. Linearising the relation gives
$$R=nT-k$$
$$logR=nlogT+logk$$
$$logR=nlogT-logk$$
$$R=nT+k$$