Q1 Polarization experiments provide proof that electromagnetic waves are waves.

Q2 diffraction phenomena are observed when the source and the screen for observing the diffraction pattern are at finite distance from the diffracting aperture or the obstacle.

Q3 diffraction phenomena are observed when the source and the screen are at infinite distance from the aperture causing the diffraction.

Q4 The distance between any two adjecent maxima or minima in an interference pattern is given by $$\beta=\frac{D\lambda}{d}$$. The quantity $$\beta$$ is called the width

Q5 For Young's double-slit experiment, we can write the formula $$\frac{\phi}{2\pi}=\frac{\Delta{x}}{\lambda}$$. $$\Delta{x}$$ is the

Q6 Waves emitted from two sources are said to be if they have zero or constant difference of phase

Q7 The change in frequency and therefore the pitch of sound as persived by a listner in relative motion to the source of the sound is known as

Q8 The ratio of the veocities and wavelengths of a wave as it traverses two media with different properties is called

Q9 The phenomenon of the spreading or bending of a wave around an aperture of comparable dimensions with the wavelength of the wave is known as

Q10 __'s principle states that a point on a wavefront is a source of secondary wavelets

Q11 The ratio of the applied force to the amplitude of particle velocity for transverse waves in terms of tension in a string is called the characteristic

Q12 When a wave travels through a medium, the medium opposes its motion. The resistsnce to the motion of the wave is reffered to as wave

Q13 The energy carried by a wave in a unit time across a unit area normal to the direction of motion is called the of the wave

Q14 For a harmonic progressive wave, the wave velocity is referred to as the velocity

Q15 NOUN radio is transmitted on the frequecny of 105.9 MHz in the frequecy modulated band. Taking the velocity of electromagnetic radiations in free space as $$3.0\times {10^{8}m/s}$$, the wave length of the radio wave generated by NOUN radio in space is m to the nearest whole number.

Q16 The ratio of the wavelegth to the period is the of a wave.

Q17 The distance between two succesive particles vibrating in phase is known as the

Q18 The reciprocal of the period of vibraton of a particle in the medium through which a wave propagates is the of the vibration

Q19 Longitudinal waves are composed of alternate compression and

Q20 A section through an advancing wave in which all points are in the same phase of vibration is called a

Q21 The wave in which the motion of the particles of the medium is perpendicular to the direction of propagation of the wave is called a wave.

Q22 A single, isolated disturbance that propagates through space with time, carrying with it energy and momentum is called a

Q23 Water and sound waves are example of waves

Q24 wave are waves that require material media for their propagation

Q25 A wave transports but not matter

Q26 The oscillation of longitudinally coupled masses is not simple harmonic but the motion can be analysed in terms of , each of which has a definite frequency and represents simple harmonic motion

Q27 Atoms in solids are held together by interatomic forces and perform what could best be described as oscillation

Q28 In an LCR circiut, occur if the inductive and capacitive reactances are equal.

Q29 occurs when the frequency of external periodic impulse driving a simple harmonic oscillator against damping forces equals the natural frequecy of the oscillator and the system responses with increased amplitude.

Q30 The number of radians through which the a weakly damped system oscillates as its average energy decays to $$E_{0}e^{-1}$$ is a measre of the

Q31 The time taken for the amplitude of a damped oscillation to decay to $$e^{-1}=0.368$$ of its original value is called the time.

Q32 A heavily damped, non-oscillatory behaviour of a simple harmonic oscillator is know as the

Q33 The is defined as the logarithm of the ratio of successive amplitudes seperated by one period of a damped oscillation.

Q34 For oscillations of sufficiently small amplitude, it is reasonable to model the damping force after Stokes law. According to this law, the damping force is proportional to of motion of the system.

Q35 An oscillation supllied with periodic impulses (forces) to keep it going in the presence of friction-type forces is a oscillation

Q36 A simple harmonic oscillation in which the energy of the system is used up to overcome friction-type forces is said to be

Q37 An ideal simple harmonic motion in which the total energy remains constant in time and displacement follows a sine curve is said to be free or

Q38 The algebraic sum of two orthogonal (mutually perpendicular) vibrations having different amplitudes and slightly different frequncies gives a resultant oscillation which traces curves whose shapes undergoe a slow change with time. The resulting patterns which are traced out are called figures

Q39 The sum of two collinear harmonic oscillations of the same frequency is also a harmonic oscillation of the same frequency and along the same line, but it has a new and a new _.

Q40 The principle of states that the resultant displacement of two (or more) harmonic displacements is the algebraic sum of the individual displacements at all subsequent times.

Q41 For a simple pendulum, the inertial factor is the mass, in LC circuit, the inertial factor is the

Q42 The frequency of oscillation of a simple pendulum is independent of the of its bob.

Q43 If the acceleration due to gravity at a given point is constant, the period of the simple pendulum at that point is directly proportional to the of its length

Q44 If the potential and the kinetic energies of a simple harmonic motion are plotted as a function of displacement x, the shape of the curves is

Q45 Given that $$x(t)=acos(\omega_{0}{t}+\phi)$$ is the displacement of a simple harmonic oscillator, the quantity $${-}\omega_{0}asin(\omega_{0}t+\phi)={-}\omega_{0}(a^{2}{-}x^{2})^{1/2}$$ is the instanteneous of the motion of the system.

Q46 For a simple harmonic oscillator, the number of vibrations execured per second is called

Q47 The solution of the differential equation of a simple harmonic oscillator gives the displacement of the system as a function of time in the form $$x(t)=Acos(\omega_{0}{t}+\phi)$$. The quantity$$ (\omega_{0}{t}+\phi)$$ is called the of the vibration of the system at time t.

Q48 The equation of a simple harmonic oscillator is given as $$\frac{d^{2}X}{dt^{2}+{{\omega_{0}}^{2}}x}=0$$. The $$\omega$$ is the of the ststem

Q49 For a simple harmonicmotion to persist, a force given $$F = -kx$$, where the symbols have their usual meaning, must act on it. The quantity k is referred to as the constant

Q50 For a simple harmonic oscillator, the direction of the force is always opposite to the the displacement of the of the system from its equilbrium position

Q51 If the source of a wave is so far from away from an aperture that the wavefront generating the diffraction pattern is regarded as plane awvefront, we have ------------ diffraction
Fresnel
Fraunhofer
Young
Huygen

Q52 Which of the following statements is correct?
For transverse waves the vibrations and propagation have the same direction
For longitudinal waves the vibrations are in a direction which is perpendicular to that of propagation of the wave
For transverse waves the vibrations are in a direction which is perpendicular to that of propagation of the wave
All electromagnetic waves are longitudinal waves

Q53 The statement that every point on an advancing wave front is a source of secondary wavelet is -------------------
Malus theorem
Fresnel's law of diffraction
Huygen's principle
Snell's law of refraction

Q54 A physics professor claimed in court that he jumped the red traffic light because he saw the light as green. Although this not practicable, on which physical principle can the professor's claim be explained?
Huygen's principle
Fermat's principle
Dopppler effect
Malus theorem

Q55 The following statements about wave motion are NOT correct EXCEPT, Wave transport -----------------
energy and matter
momentum and energy
momentum and matter
matter and not energy

Q56 Which of the following statements is NOT true about normal modes of two identical springs-mass systems with masses $$m_{1}$$ and $$m_{2}$$ with spring constant $$k_{1}$$ and $$k_{2}$$ respectively, coupled ba spring of spring constant $$k$$, given that $$m_{1}=m_{2}=m$$ and $$k_{1}=k_{2}=k$$ and the systems are displaced longitudinally in the same direction and released
the normal mode frequency is the same as that of the uncoupled masses
The coupling spring is neither stretched nor compressed
The longitudinal oscillations of the coupled masses are simple harmonic
Each mode represents an independent simple harmonic motion with noormal mode frequencies $$\omega_{1}=\sqrt{\frac{k'}{m}}$$ and $$\omega_{2}=\sqrt{\frac{k'+2k}{m}}$$

Q57 Which of the following correctly represents the quality factor?
$$\frac{\omega^{2}{-}{\omega_{o}}^{2}}{b\omega}$$
$$\frac{\omega^{2}{+}{\omega_{o}}^{2}}{4b\omega}$$
$$\frac{\omega^{2}{+}{\omega_{o}}^{2}}{b\omega}$$
$$\frac{\omega^{2}{-}{\omega_{o}}^{2}}{2b\omega}$$

Q58 In a driven or forced oscillation, if the frequency of the driving force equals the frequency of the undamped oscillator, the system will
be critically damped
resonate
be heavily damped
ocillate with decreasing amplitude

Q59 A damped system is characterised by all of the following except -----------
relaxation time
logarithmic decrement
quality factor
critical damping

Q60 The term "dead beat" refers to
heavily damped motion
critically damped motion
under damped motion
free motion

Q61 The equation of a damped harmonic oscillator takes the form $$\frac{d^{2}x}{dt^{2}}+2b\frac{dx}{dt}+\omega^{2}x=0$$ with the symbols having their usual meaning. Which of these is an appropriate SI unit for b?
$$Ms^{-1}$$
$$Ns$$
$$ms^{-2}$$
$$s^{-1}$$

Q62 For oscillations of sufficiently small amplitude in a viscous medium, it is reasonable to model damping force after Stoke's law, $$F_{d}={-}\gamma{v}$$, where $$F_{d}$$ is the drag force, $$v$$ the velocity and $$\gamma$$ the damping coefficient. What are the dimensions of $$\gamma$$?
$$MT^{2}$$
$$ML^{-1}$$
$$MT^{-2}$$
$$M^{2}T$$

Q63 An oscillation that is maintained by the application of external periodic impulses is referred to as ------------
free
forced
damped
undamped

Q64 A simple harmonic oscillator for which the total energy is idealy assumed to be constant in the absence of frictional forces is said to execute ------------ oscillation
free
damped
forced
heavily damped

Q65 The equation of motion of a simple harmonic oscillator is $$\frac{d^{2}x}{dt^{2}}+16x=0$$. Solve this equation subject to the initial conditions that at $$t=0$$, $$x=4 cm$$ and $$\frac{dx}{dt}=0$$.
$$x(t)=3cos2t$$
$$x(t)=4cos4t$$
$$x(t)=2cost$$
$$x(t)=\sqrt{2}cos\left(2t{-}\pi/3\right)$$

Q66 Two harmonic oscillations of equal amplitude have the same frequency and are in phase. Superposition of the two oscillations yields an oscillation with resultant amplitude of
0
a
2a
$$\frac{1}{2}a$$

Q67 The intensity of a wave is the measure of its -------------------
power across a unit area perpendicular to the direction of motion
the rate at which the wave is produced from the source
the quantity of motion of the wave
the velocity of the wave

Q68 The quality factor for an LCR circuit is
$$\omega_{o}LR$$
$$\frac{R}{{\omega}_{o}L}$$
$$\frac{\omega_{o}L}{R}$$
$$\frac{\omega_{o}C}{R}$$

Q69 Which of the following is TRUE for an oscillating LC circuit?
current leads charge by $$\frac{\pi}{2}$$
current lags charge by $%\frac{\pi}{2}$%
current leads charge by $$\pi$$
current leads charge by $$\pi$$

Q70 According to the parallel axis theorem, the moment of inertia $$I$$ of a compound pendulum about any axis and its moment of inertia $$I_{g}$$ about a parallel axis passing through its centre of gravity is given $$I=I_{g}+ml^{2}$$, where $$l$$ is the distance from the pivot point to th centre of gravity of the pendulum. The period of the pendulum is then given as $$T=2\pi\sqrt{\frac{k_{r}+l^{2}}{lg}}$$. The quantity $$k_{r}$$ in the equation is called ---------------- of the compound pendulum
force constant
radius of gyration
stiffness
the length of an equivalent simple pendulum

Q71 Which of the following is NOT TRUE about the simple harmonic motion of a compound pendulum?
the restoring force is $$I\frac{d^{2}\theta}{dt^{2}}$$, where $$I$$ is the moment of inertia
$$\frac{d^{2}\theta}{dt^{2}}+\frac{mgl}{I}\theta=0$$
$$\frac{d^{2}\theta}{dt^{2}}+\frac{mgl}{I}sin\theta=0$$, provided $$sin\theta\neq\theta$$
The periopd of motion is $$T=2\pi\sqrt{\frac{I}{mlg}}$$

Q72 For a simple pendulum with small angular displacement, $$\theta$$, the equation of the simple harmonic motion is $$I\frac{d^{2}\theta}{dt^{2}}+\omega^{2}\theta=0$$. What is the the value of $$\omega^{2}$$
$$\frac{l}{g}$$
$$\sqrt{\frac{g}{l}}$$
$$\sqrt{\frac{l}{g}}$$
$$g/l$$

Q73 Which of the following is NOT TRUE about a simple harmonic oscillator?
potential energy is zero at the maximum displacement from equilibrum position
kinetic energy is maximum as the system passes through the equilibrium position
potential energy is maximum at the maximum displacement from equilibrium position
the sum of potential and kinetic energy is constant and equal to the total energy of the system

Q74 In an Lc oscillating circuit, the spring factor is -----------
C
L
1/C
1/L

Q75 The inertial factor in a spring-mass oscillating system is the mass. What is the inertial factor in an LC oscillating system
current
charge
voltage
inductance

Q76 The mean rest position is the equilibrium state of a simple pendulum. What is the equilibrium state of an LC circiut?
When there is no charge storedn the capacitor
When ther is potential difference across the circuit element
When there is no current in the the circuit
When there is no inductance in the circuit

Q77 The equation of simple harmonic motion of an acoustic oscillator is $$\frac{d^{2}x}{dt^{2}}+\frac{E_{\gamma}}{Vl\rho}x=0$$. What is the value of $${\omega}^{2}$$?
$$\frac{Vl\rho}{E_{\gamma}A}$$
$$\frac{E_{\gamma}A^{2}}{V}$$
$$\frac{V}{E_{\gamma}A^{2}}$$
$$\frac{E_{\gamma}A}{Vl\rho}$$

Q78 Which of the following is true about a pendulum clock?
It is slower at equator than at the poles
It is faster at equator than at the poles
It is the same at equator as at the poles
It is slower at the poles than at the poles

Q79 What is the average kinetic energy of a simple harmonic oscillator over one complete cycle?
$$ka^{2}$$
$$\frac{1}{2}ka^{2}$$
$$\frac{1}{4}ka^{2}$$
$$2ka^{2}$$

Q80 Which of the following is NOT TRUE about the energy of an oscillating system which performs simple harmonic motion?
The shapes of the curves of potential and kinetic energy as functions of time are parabolic
The curves of potential and kinetic energies as functions of time are symmetric about the origin
The potential and kinetic energy curves are inverted with respect to each other
At any value of the displacement, the difference between the potential and kinetic energies is the total energy of the system.

Q81 Given that the total energy of a simple harmonic oscillator is $$E=\frac{1}{2}ka^2$$, where a is the amplitude and k the stiffness of the system, at what value of the displacement x is $$KE=PE=\frac{E}{2}$$. KE and PE are the kinetic and potential energies respectively.
$$a$$
$$\frac{a}{2}$$
$$\frac{a}{\sqrt{2}}$$
$$\sqrt{\frac{a}{2}}$$

Q82 Which of the following statements is NOT true about a simple harmonic motion?
displacement lags velocity by $$\pi/2$$ radians
acceleration is $$\pi$$ radian out of phase with displacement
displacement and velocity are in phase
acceleration and and velocity are antiphase

Q83 A spring of negligible mass is clamped vertically and has a pan attached to the top. A 2-kg clay drops from a height of 25 cm and sticks to the pan at t = 0 If the spring is compressed by 0.3 m, calculate the period of the resultant simple harmonic motion.
0.12 s
0.85 s
0.014 s
0.65 s

Q84 A certain vibrator obeys the equation x = 1.60sin(1.30t - 0.75) cm. t is in seconds and the angles are in radians. At t = 0, what is its acceleration?
$$1.84 cm/s^2$$
$$2.70 cm/s^2$$
$$0.035 cm/s^2$$
$$2.13 cm/s^2$$

Q85 A particle in simple harmonic motion has a period of 0.4 s. if the maximum speed attained during the motion is 0.3 m/s, what is the amplitude of the motion?
0.019 m
0.22 m
0.32 s
0.03 s

Q86 Write down the equation for the simple harmonic motion shown in the figure .
$$x= 0.08sin\pi (0.04t – 0.4)$$
$$x= 0.8sin\pi (0.04t + 0.4)$$
$$x= 0.08cos\pi (0.4 – 0.4t)$$
$$x= 0.08cos\pi (0.04t + 0.004)$$

Q87 A pendulum swings with a displacement amplitude a. If its starting point from rest is x = a/2, find the value of the phase constant $$\phi$$ for the soution $$x = asin(\omega{t}+\phi)$$
$$\pi{rad}$$
$$\frac{\pi}{3} rad$$
$$\frac{\pi}{4} rad$$
$$2\pi{rad}$$

Q88 Increasing which of the following increases the period of an oscillating spring-mass system?
amplitude
mass
spring constant
strength of gravity

Q89 Which of the following is NOT a valid solution of the equation of a simple harmonic oscillator ? The symbols have their usual meaning.
$$x=acos(\omega{t}+\phi)$$
$$x=asin(\omega{t}-\phi)$$
$$x=acos(\omega{t}-\phi)$$
$$x=asin(\omega-\phi{t})$$

Q90 A spring oscillates with a period of 1 s with a mass of 0.25 kg. What would its period be if the mass is were increased to 1 kg?
0.5 s
1.0 s
2.0 s
4.0 s

Q91 Increasing which of the following increases the period of an oscillating spring-mass system?
strength of gravity
amplitude
mass
spring constant

Q92 For small displacements from equilibrium position the period for the motion of an object on a spring is --------- the value of the spring constant
proportional
propotional to the square-root of
inversely proportional to the square-root of
$\sqrt{m/k}$

Q93 The equation of motion of a spring-mass system is given as $$\frac{d^2{x}}{dt^2}+\omega^2{x}=0$$. The equivalent of $$\omega$$ in terms of the spring constant k and mass is
$$mk$$
$$k/m $$
$$\sqrt{k/m}$$
$$\sqrt{m/k}$$

Q94 The motion of a system is given as $$x = f(x_{0} + p)$$ where x is the displacement and p the period.The function f is ---------
sinusoidal
exponential
logarithmic
quadratic

Q95 The equation of a simple harmonic motion is given as $$\frac{d^2{x}}{dt^2}+\omega^2{x}=0$$ where the symbols have their usual meaning. The dimension of the quatity k/m is
$$ L^{-1}$$
$$M$$
$$T^{-2}$$
$$LT^{-2}$$

Q96 Which of the following conditions is NOT necessary for an oscillation to be called simple harmonic?
The restoring force is constant
The restoring force is obeys Hookes's law for small displacements from equilibrium position
Total energy of the system is constant in the absence of dissipative forces
Acceleration is proportional to to the displacement from equilibrium position

Q97 Which of the following does NOT contribute to the oscillation of a spring-mass system that is sretched and released?
Elasticity
inertia
restoring force
damping forces

Q98 Which of the following is NOT correct of an oscillating system?
The restoring force is proportional to the displacement from equilibrium position for small displacements
The restoring force is always is always opposite to the displacement from equilibrium position
The acceleration is always in the direction of the displacement
the acceleration is always towards the equilibrium position

Q99 Which of the following is necessary for the motion of an oscillating system to continue?
amplitude
priod
frequency
restoring force

Q100 Which of the following is NOT necessary for the description of an oscillation?
amplitude
priod
frequency
wavefront

Q101 Polarization experiments provide proof that electromagnetic waves are waves.

Q102 diffraction phenomena are observed when the source and the screen for observing the diffraction pattern are at finite distance from the diffracting aperture or the obstacle.

Q103 diffraction phenomena are observed when the source and the screen are at infinite distance from the aperture causing the diffraction.

Q104 The distance between any two adjecent maxima or minima in an interference pattern is given by $$\beta=\frac{D\lambda}{d}$$. The quantity $$\beta$$ is called the width

Q105 For Young's double-slit experiment, we can write the formula $$\frac{\phi}{2\pi}=\frac{\Delta{x}}{\lambda}$$. $$\Delta{x}$$ is the

Q106 Waves emitted from two sources are said to be if they have zero or constant difference of phase

Q107 The change in frequency and therefore the pitch of sound as persived by a listner in relative motion to the source of the sound is known as

Q108 The ratio of the veocities and wavelengths of a wave as it traverses two media with different properties is called

Q109 The phenomenon of the spreading or bending of a wave around an aperture of comparable dimensions with the wavelength of the wave is known as

Q110 __'s principle states that a point on a wavefront is a source of secondary wavelets

Q111 The ratio of the applied force to the amplitude of particle velocity for transverse waves in terms of tension in a string is called the characteristic

Q112 When a wave travels through a medium, the medium opposes its motion. The resistsnce to the motion of the wave is reffered to as wave

Q113 The energy carried by a wave in a unit time across a unit area normal to the direction of motion is called the of the wave

Q114 For a harmonic progressive wave, the wave velocity is referred to as the velocity

Q115 NOUN radio is transmitted on the frequecny of 105.9 MHz in the frequecy modulated band. Taking the velocity of electromagnetic radiations in free space as $$3.0\times {10^{8}m/s}$$, the wave length of the radio wave generated by NOUN radio in space is m to the nearest whole number.

Q116 The ratio of the wavelegth to the period is the of a wave.

Q117 The distance between two succesive particles vibrating in phase is known as the

Q118 The reciprocal of the period of vibraton of a particle in the medium through which a wave propagates is the of the vibration

Q119 Longitudinal waves are composed of alternate compression and

Q120 A section through an advancing wave in which all points are in the same phase of vibration is called a

Q121 The wave in which the motion of the particles of the medium is perpendicular to the direction of propagation of the wave is called a wave.

Q122 A single, isolated disturbance that propagates through space with time, carrying with it energy and momentum is called a

Q123 Water and sound waves are example of waves

Q124 wave are waves that require material media for their propagation

Q125 A wave transports but not matter

Q126 The oscillation of longitudinally coupled masses is not simple harmonic but the motion can be analysed in terms of , each of which has a definite frequency and represents simple harmonic motion

Q127 Atoms in solids are held together by interatomic forces and perform what could best be described as oscillation

Q128 In an LCR circiut, occur if the inductive and capacitive reactances are equal.

Q129 occurs when the frequency of external periodic impulse driving a simple harmonic oscillator against damping forces equals the natural frequecy of the oscillator and the system responses with increased amplitude.

Q130 The number of radians through which the a weakly damped system oscillates as its average energy decays to $$E_{0}e^{-1}$$ is a measre of the

Q131 The time taken for the amplitude of a damped oscillation to decay to $$e^{-1}=0.368$$ of its original value is called the time.

Q132 A heavily damped, non-oscillatory behaviour of a simple harmonic oscillator is know as the

Q133 The is defined as the logarithm of the ratio of successive amplitudes seperated by one period of a damped oscillation.

Q134 For oscillations of sufficiently small amplitude, it is reasonable to model the damping force after Stokes law. According to this law, the damping force is proportional to of motion of the system.

Q135 An oscillation supllied with periodic impulses (forces) to keep it going in the presence of friction-type forces is a oscillation

Q136 A simple harmonic oscillation in which the energy of the system is used up to overcome friction-type forces is said to be

Q137 An ideal simple harmonic motion in which the total energy remains constant in time and displacement follows a sine curve is said to be free or

Q138 The algebraic sum of two orthogonal (mutually perpendicular) vibrations having different amplitudes and slightly different frequncies gives a resultant oscillation which traces curves whose shapes undergoe a slow change with time. The resulting patterns which are traced out are called figures

Q139 The sum of two collinear harmonic oscillations of the same frequency is also a harmonic oscillation of the same frequency and along the same line, but it has a new and a new _.

Q140 The principle of states that the resultant displacement of two (or more) harmonic displacements is the algebraic sum of the individual displacements at all subsequent times.

Q141 For a simple pendulum, the inertial factor is the mass, in LC circuit, the inertial factor is the

Q142 The frequency of oscillation of a simple pendulum is independent of the of its bob.

Q143 If the acceleration due to gravity at a given point is constant, the period of the simple pendulum at that point is directly proportional to the of its length

Q144 If the potential and the kinetic energies of a simple harmonic motion are plotted as a function of displacement x, the shape of the curves is

Q145 Given that $$x(t)=acos(\omega_{0}{t}+\phi)$$ is the displacement of a simple harmonic oscillator, the quantity $${-}\omega_{0}asin(\omega_{0}t+\phi)={-}\omega_{0}(a^{2}{-}x^{2})^{1/2}$$ is the instanteneous of the motion of the system.

Q146 For a simple harmonic oscillator, the number of vibrations execured per second is called

Q147 The solution of the differential equation of a simple harmonic oscillator gives the displacement of the system as a function of time in the form $$x(t)=Acos(\omega_{0}{t}+\phi)$$. The quantity$$ (\omega_{0}{t}+\phi)$$ is called the of the vibration of the system at time t.

Q148 The equation of a simple harmonic oscillator is given as $$\frac{d^{2}X}{dt^{2}+{{\omega_{0}}^{2}}x}=0$$. The $$\omega$$ is the of the ststem

Q149 For a simple harmonicmotion to persist, a force given $$F = -kx$$, where the symbols have their usual meaning, must act on it. The quantity k is referred to as the constant

Q150 For a simple harmonic oscillator, the direction of the force is always opposite to the the displacement of the of the system from its equilbrium position

Q151 If the source of a wave is so far from away from an aperture that the wavefront generating the diffraction pattern is regarded as plane awvefront, we have ------------ diffraction
Fresnel
Fraunhofer
Young
Huygen

Q152 Which of the following statements is correct?
For transverse waves the vibrations and propagation have the same direction
For longitudinal waves the vibrations are in a direction which is perpendicular to that of propagation of the wave
For transverse waves the vibrations are in a direction which is perpendicular to that of propagation of the wave
All electromagnetic waves are longitudinal waves

Q153 The statement that every point on an advancing wave front is a source of secondary wavelet is -------------------
Malus theorem
Fresnel's law of diffraction
Huygen's principle
Snell's law of refraction

Q154 A physics professor claimed in court that he jumped the red traffic light because he saw the light as green. Although this not practicable, on which physical principle can the professor's claim be explained?
Huygen's principle
Fermat's principle
Dopppler effect
Malus theorem

Q155 The following statements about wave motion are NOT correct EXCEPT, Wave transport -----------------
energy and matter
momentum and energy
momentum and matter
matter and not energy

Q156 Which of the following statements is NOT true about normal modes of two identical springs-mass systems with masses $$m_{1}$$ and $$m_{2}$$ with spring constant $$k_{1}$$ and $$k_{2}$$ respectively, coupled ba spring of spring constant $$k$$, given that $$m_{1}=m_{2}=m$$ and $$k_{1}=k_{2}=k$$ and the systems are displaced longitudinally in the same direction and released
the normal mode frequency is the same as that of the uncoupled masses
The coupling spring is neither stretched nor compressed
The longitudinal oscillations of the coupled masses are simple harmonic
Each mode represents an independent simple harmonic motion with noormal mode frequencies $$\omega_{1}=\sqrt{\frac{k'}{m}}$$ and $$\omega_{2}=\sqrt{\frac{k'+2k}{m}}$$

Q157 Which of the following correctly represents the quality factor?
$$\frac{\omega^{2}{-}{\omega_{o}}^{2}}{b\omega}$$
$$\frac{\omega^{2}{+}{\omega_{o}}^{2}}{4b\omega}$$
$$\frac{\omega^{2}{+}{\omega_{o}}^{2}}{b\omega}$$
$$\frac{\omega^{2}{-}{\omega_{o}}^{2}}{2b\omega}$$

Q158 In a driven or forced oscillation, if the frequency of the driving force equals the frequency of the undamped oscillator, the system will
be critically damped
resonate
be heavily damped
ocillate with decreasing amplitude

Q159 A damped system is characterised by all of the following except -----------
relaxation time
logarithmic decrement
quality factor
critical damping

Q160 The term "dead beat" refers to
heavily damped motion
critically damped motion
under damped motion
free motion

Q161 The equation of a damped harmonic oscillator takes the form $$\frac{d^{2}x}{dt^{2}}+2b\frac{dx}{dt}+\omega^{2}x=0$$ with the symbols having their usual meaning. Which of these is an appropriate SI unit for b?
$$Ms^{-1}$$
$$Ns$$
$$ms^{-2}$$
$$s^{-1}$$

Q162 For oscillations of sufficiently small amplitude in a viscous medium, it is reasonable to model damping force after Stoke's law, $$F_{d}={-}\gamma{v}$$, where $$F_{d}$$ is the drag force, $$v$$ the velocity and $$\gamma$$ the damping coefficient. What are the dimensions of $$\gamma$$?
$$MT^{2}$$
$$ML^{-1}$$
$$MT^{-2}$$
$$M^{2}T$$

Q163 An oscillation that is maintained by the application of external periodic impulses is referred to as ------------
free
forced
damped
undamped

Q164 A simple harmonic oscillator for which the total energy is idealy assumed to be constant in the absence of frictional forces is said to execute ------------ oscillation
free
damped
forced
heavily damped

Q165 The equation of motion of a simple harmonic oscillator is $$\frac{d^{2}x}{dt^{2}}+16x=0$$. Solve this equation subject to the initial conditions that at $$t=0$$, $$x=4 cm$$ and $$\frac{dx}{dt}=0$$.
$$x(t)=3cos2t$$
$$x(t)=4cos4t$$
$$x(t)=2cost$$
$$x(t)=\sqrt{2}cos\left(2t{-}\pi/3\right)$$

Q166 Two harmonic oscillations of equal amplitude have the same frequency and are in phase. Superposition of the two oscillations yields an oscillation with resultant amplitude of
0
a
2a
$$\frac{1}{2}a$$

Q167 The intensity of a wave is the measure of its -------------------
power across a unit area perpendicular to the direction of motion
the rate at which the wave is produced from the source
the quantity of motion of the wave
the velocity of the wave

Q168 The quality factor for an LCR circuit is
$$\omega_{o}LR$$
$$\frac{R}{{\omega}_{o}L}$$
$$\frac{\omega_{o}L}{R}$$
$$\frac{\omega_{o}C}{R}$$

Q169 Which of the following is TRUE for an oscillating LC circuit?
current leads charge by $$\frac{\pi}{2}$$
current lags charge by $%\frac{\pi}{2}$%
current leads charge by $$\pi$$
current leads charge by $$\pi$$

Q170 According to the parallel axis theorem, the moment of inertia $$I$$ of a compound pendulum about any axis and its moment of inertia $$I_{g}$$ about a parallel axis passing through its centre of gravity is given $$I=I_{g}+ml^{2}$$, where $$l$$ is the distance from the pivot point to th centre of gravity of the pendulum. The period of the pendulum is then given as $$T=2\pi\sqrt{\frac{k_{r}+l^{2}}{lg}}$$. The quantity $$k_{r}$$ in the equation is called ---------------- of the compound pendulum
force constant
radius of gyration
stiffness
the length of an equivalent simple pendulum

Q171 Which of the following is NOT TRUE about the simple harmonic motion of a compound pendulum?
the restoring force is $$I\frac{d^{2}\theta}{dt^{2}}$$, where $$I$$ is the moment of inertia
$$\frac{d^{2}\theta}{dt^{2}}+\frac{mgl}{I}\theta=0$$
$$\frac{d^{2}\theta}{dt^{2}}+\frac{mgl}{I}sin\theta=0$$, provided $$sin\theta\neq\theta$$
The periopd of motion is $$T=2\pi\sqrt{\frac{I}{mlg}}$$

Q172 For a simple pendulum with small angular displacement, $$\theta$$, the equation of the simple harmonic motion is $$I\frac{d^{2}\theta}{dt^{2}}+\omega^{2}\theta=0$$. What is the the value of $$\omega^{2}$$
$$\frac{l}{g}$$
$$\sqrt{\frac{g}{l}}$$
$$\sqrt{\frac{l}{g}}$$
$$g/l$$

Q173 Which of the following is NOT TRUE about a simple harmonic oscillator?
potential energy is zero at the maximum displacement from equilibrum position
kinetic energy is maximum as the system passes through the equilibrium position
potential energy is maximum at the maximum displacement from equilibrium position
the sum of potential and kinetic energy is constant and equal to the total energy of the system

Q174 In an Lc oscillating circuit, the spring factor is -----------
C
L
1/C
1/L

Q175 The inertial factor in a spring-mass oscillating system is the mass. What is the inertial factor in an LC oscillating system
current
charge
voltage
inductance

Q176 The mean rest position is the equilibrium state of a simple pendulum. What is the equilibrium state of an LC circiut?
When there is no charge storedn the capacitor
When ther is potential difference across the circuit element
When there is no current in the the circuit
When there is no inductance in the circuit

Q177 The equation of simple harmonic motion of an acoustic oscillator is $$\frac{d^{2}x}{dt^{2}}+\frac{E_{\gamma}}{Vl\rho}x=0$$. What is the value of $${\omega}^{2}$$?
$$\frac{Vl\rho}{E_{\gamma}A}$$
$$\frac{E_{\gamma}A^{2}}{V}$$
$$\frac{V}{E_{\gamma}A^{2}}$$
$$\frac{E_{\gamma}A}{Vl\rho}$$

Q178 Which of the following is true about a pendulum clock?
It is slower at equator than at the poles
It is faster at equator than at the poles
It is the same at equator as at the poles
It is slower at the poles than at the poles

Q179 What is the average kinetic energy of a simple harmonic oscillator over one complete cycle?
$$ka^{2}$$
$$\frac{1}{2}ka^{2}$$
$$\frac{1}{4}ka^{2}$$
$$2ka^{2}$$

Q180 Which of the following is NOT TRUE about the energy of an oscillating system which performs simple harmonic motion?
The shapes of the curves of potential and kinetic energy as functions of time are parabolic
The curves of potential and kinetic energies as functions of time are symmetric about the origin
The potential and kinetic energy curves are inverted with respect to each other
At any value of the displacement, the difference between the potential and kinetic energies is the total energy of the system.

Q181 Given that the total energy of a simple harmonic oscillator is $$E=\frac{1}{2}ka^2$$, where a is the amplitude and k the stiffness of the system, at what value of the displacement x is $$KE=PE=\frac{E}{2}$$. KE and PE are the kinetic and potential energies respectively.
$$a$$
$$\frac{a}{2}$$
$$\frac{a}{\sqrt{2}}$$
$$\sqrt{\frac{a}{2}}$$

Q182 Which of the following statements is NOT true about a simple harmonic motion?
displacement lags velocity by $$\pi/2$$ radians
acceleration is $$\pi$$ radian out of phase with displacement
displacement and velocity are in phase
acceleration and and velocity are antiphase

Q183 A spring of negligible mass is clamped vertically and has a pan attached to the top. A 2-kg clay drops from a height of 25 cm and sticks to the pan at t = 0 If the spring is compressed by 0.3 m, calculate the period of the resultant simple harmonic motion.
0.12 s
0.85 s
0.014 s
0.65 s

Q184 A certain vibrator obeys the equation x = 1.60sin(1.30t - 0.75) cm. t is in seconds and the angles are in radians. At t = 0, what is its acceleration?
$$1.84 cm/s^2$$
$$2.70 cm/s^2$$
$$0.035 cm/s^2$$
$$2.13 cm/s^2$$

Q185 A particle in simple harmonic motion has a period of 0.4 s. if the maximum speed attained during the motion is 0.3 m/s, what is the amplitude of the motion?
0.019 m
0.22 m
0.32 s
0.03 s

Q186 Write down the equation for the simple harmonic motion shown in the figure .
$$x= 0.08sin\pi (0.04t – 0.4)$$
$$x= 0.8sin\pi (0.04t + 0.4)$$
$$x= 0.08cos\pi (0.4 – 0.4t)$$
$$x= 0.08cos\pi (0.04t + 0.004)$$

Q187 A pendulum swings with a displacement amplitude a. If its starting point from rest is x = a/2, find the value of the phase constant $$\phi$$ for the soution $$x = asin(\omega{t}+\phi)$$
$$\pi{rad}$$
$$\frac{\pi}{3} rad$$
$$\frac{\pi}{4} rad$$
$$2\pi{rad}$$

Q188 Increasing which of the following increases the period of an oscillating spring-mass system?
amplitude
mass
spring constant
strength of gravity

Q189 Which of the following is NOT a valid solution of the equation of a simple harmonic oscillator ? The symbols have their usual meaning.
$$x=acos(\omega{t}+\phi)$$
$$x=asin(\omega{t}-\phi)$$
$$x=acos(\omega{t}-\phi)$$
$$x=asin(\omega-\phi{t})$$

Q190 A spring oscillates with a period of 1 s with a mass of 0.25 kg. What would its period be if the mass is were increased to 1 kg?
0.5 s
1.0 s
2.0 s
4.0 s

Q191 Increasing which of the following increases the period of an oscillating spring-mass system?
strength of gravity
amplitude
mass
spring constant

Q192 For small displacements from equilibrium position the period for the motion of an object on a spring is --------- the value of the spring constant
proportional
propotional to the square-root of
inversely proportional to the square-root of
$\sqrt{m/k}$

Q193 The equation of motion of a spring-mass system is given as $$\frac{d^2{x}}{dt^2}+\omega^2{x}=0$$. The equivalent of $$\omega$$ in terms of the spring constant k and mass is
$$mk$$
$$k/m $$
$$\sqrt{k/m}$$
$$\sqrt{m/k}$$

Q194 The motion of a system is given as $$x = f(x_{0} + p)$$ where x is the displacement and p the period.The function f is ---------
sinusoidal
exponential
logarithmic
quadratic

Q195 The equation of a simple harmonic motion is given as $$\frac{d^2{x}}{dt^2}+\omega^2{x}=0$$ where the symbols have their usual meaning. The dimension of the quatity k/m is
$$ L^{-1}$$
$$M$$
$$T^{-2}$$
$$LT^{-2}$$

Q196 Which of the following conditions is NOT necessary for an oscillation to be called simple harmonic?
The restoring force is constant
The restoring force is obeys Hookes's law for small displacements from equilibrium position
Total energy of the system is constant in the absence of dissipative forces
Acceleration is proportional to to the displacement from equilibrium position

Q197 Which of the following does NOT contribute to the oscillation of a spring-mass system that is sretched and released?
Elasticity
inertia
restoring force
damping forces

Q198 Which of the following is NOT correct of an oscillating system?
The restoring force is proportional to the displacement from equilibrium position for small displacements
The restoring force is always is always opposite to the displacement from equilibrium position
The acceleration is always in the direction of the displacement
the acceleration is always towards the equilibrium position

Q199 Which of the following is necessary for the motion of an oscillating system to continue?
amplitude
priod
frequency
restoring force

Q200 Which of the following is NOT necessary for the description of an oscillation?
amplitude
priod
frequency
wavefront