JEE Questions for Physics Oscillations Quiz 10 - MCQExams.com

A body performs S.H.M. Its kinetic energy K varies with time t as indicated by graph

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For a simple pendulum, the graph between T2 and L is
  • A straight line passing through the origin
  • Parabola
  • Circle
  • Ellipse
A particle of mass m is released from rest and follows a parabolic path as shown. Assuming that the displacement of the mass from the origin is small, which graph correctly depicts the position of the particle as a function of time
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Two blocks A and B each of mass m are connected by a massless spring of natural length L and spring constant K. The blocks are initially resting on a smooth horizontal floor with the spring at its natural length as shown in figure. A third identical block C also of mass m moves on the floor with a speed v along the line joining A and B and collides with A. Then
  • The kinetic energy of the A–B system at maximum compression of the spring is zero
  • The kinetic energy of the A–B system at maximum compression of the spring is mv2/4

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Function x = A sin2 ωt + B cos2 ωt + C sin ωt cos ωt represents S.H.M.
  • For any value of A, B and C (except C = 0)
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    Physics-Oscillations-85002.png
  • If A = B, C = 0

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Three simple harmonic motions in the same direction having the same amplitude a and same period are superposed. If each differs in phase from the next by 45°, then
  • The phase of the resultant motion relative to the first is 90°
  • The resultant amplitude is (1+√2)a
  • The energy associated with the resulting motion is (3+2√times the energy associated with any single motion
  • The resulting motion is not simple harmonic
A linear harmonic oscillator of force constant 2 × 106 N/m times and amplitude 0.01 m has a total mechanical energy of 160 joules. Its
  • Maximum potential energy is 100 J
  • Maximum K.E. is 100 J
  • Maximum P.E. is 160 J
  • Minimum P.E. is zero
Two simple pendulums of lengths 1.44 m and 1 m start swinging together. After how many vibrations will they again start swinging together
  • 5 oscillations of smaller pendulum
  • 6 oscillations of smaller pendulum
  • 4 oscillations of bigger pendulum
  • 6 oscillations of bigger pendulum
A simple pendulum of length L and mass (bob) M is oscillating in a plane about a vertical line between angular limits –ɸ and + ɸ. For an angular displacement θ ( |θ| < ɸ ), the tension in the string and the velocity of the bob are T and v respectively. The following relations hold good under the above conditions

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  • The magnitude of the tangential acceleration of the bob |ar| = g sin θ
  • T = Mg cos θ
Which of the following expressions represent simple harmonic motion
  • x = A sin (w8t + δ)
  • x = B cos (ωt + ɸ))
  • x = A tan (ωt + ɸ))
  • x = A sin ωt cos ωt
A metal rod of length L and mass ‘M’ is pivoted at one end. A thin disk of mass ‘M\' and radius \'R’ (< L) is attached at its centre to the free end of the rod. Consider two ways the disc is attached (case A). The disc is not free to rotate about its centre and (case B) the disc is free to rotate about its centre. The rod-disc system performs S.H.M. in vertical plane after being released from the same displaced position. Which of the following statement(s) is (are) true
Physics-Oscillations-85011.png
  • Restoring torque in case A = Restoring torque in case B
  • Restoring torque in case A < Restoring torque in case B
  • Angular frequency for case A > Angular frequency for case B
  • Angular frequency for case A < Angular frequency for case B
If two springs S1 and S2 of force constants k1 and k2, respectively, are stretched by the same force, it is found that more work is done on spring S1 than on spring S2.
Statement 1 If stretched by the same amount, work done on S1, will be more than that on S2
Statement 2 : k1 < k2
  • Statement 1 is true, statement 2 is true ; statement 2 is a correct explanation for statement 1
  • Statement 1 is true, statement 2 is true ; statement 2 is not a correct explanation for statement 1
  • Statement 1 is true, statement 2 is false
  • Statement 1 is false, statement 2 is true

Physics-Oscillations-85014.png
  • E < 0
  • E > 0
  • V0 > E > 0
  • E > V0

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    Physics-Oscillations-85018.png

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  • Zero
Phase space diagrams are useful tools in analyzing all kinds of dynamical problems. They are especially useful in studying the changes in motion as initial position and momentum are changed. Here we consider some simple dynamical systems in one-dimension. For such systems, phase space is a plane in which position is plotted along horizontal axis and momentum is plotted along vertical axis. The phase space diagram is x(t) vs. p(t) curve in this plane. The arrow on the curve indicates the time flow. For example, the phase space diagram for a particle moving with constant velocity is a straight line as shown in the figure. We use the sign convention in which position or momentum upwards (or to right) is positive and downwards (or to left) is negative.
The phase space diagram for a ball thrown vertically up from ground is
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Column I gives a list of possible set of parameters measured in some experiments. The variations of the parameters in the form of graphs are shown in Column II. Match the set of parameters given in Column I with the graphs given in Column II
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Column I describes some situations in which a small object moves. Column II describes some characteristics of these motions. Match the situations in Column I with the characteristics in Column II
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Assertion All oscillatory motions are necessarily periodic motion but all periodic motion are not oscillatory.
Reason Simple pendulum is an example of oscillatory motion.
  • If both Assertion and Reason are true and the Reason is the correct explanation of the Assertion.
  • If both Assertion and Reason are true but Reason is not the correct explanation of the Assertion.
  • If Assertion is true but Reason is false.
  • If the Assertion and Reason both are false.
  • If Assertion is false but Reason is true.
Assertion Water in a U-tube executes S.H.M., the time period for mercury filled up to the same height in the U-tube be greater than that in case of water.
Reason The amplitude of an oscillating pendulum goes on increasing
  • If both Assertion and Reason are true and the Reason is the correct explanation of the Assertion.
  • If both Assertion and Reason are true but Reason is not the correct explanation of the Assertion.
  • If Assertion is true but Reason is false.
  • If the Assertion and Reason both are false.
  • If Assertion is false but Reason is true.
Assertion Acceleration is proportional to the displacement. This condition is not sufficient for motion in simple harmonic.
Reason In simple harmonic motion direction of displacement is also considered.
  • If both Assertion and Reason are true and the Reason is the correct explanation of the Assertion.
  • If both Assertion and Reason are true but Reason is not the correct explanation of the Assertion.
  • If Assertion is true but Reason is false.
  • If the Assertion and Reason both are false.
  • If Assertion is false but Reason is true.
Assertion Sine and cosine functions are periodic functions.
Reason Sinusoidal functions repeats it values after a definite interval of time.
  • If both Assertion and Reason are true and the Reason is the correct explanation of the Assertion.
  • If both Assertion and Reason are true but Reason is not the correct explanation of the Assertion.
  • If Assertion is true but Reason is false.
  • If the Assertion and Reason both are false.
  • If Assertion is false but Reason is true.
Assertion Ocean waves hitting a beach are always found to be nearly normal to the shore.
Reason Ocean waves hitting a beach are assumed as plane waves.
  • If both Assertion and Reason are true and the Reason is the correct explanation of the Assertion.
  • If both Assertion and Reason are true but Reason is not the correct explanation of the Assertion.
  • If Assertion is true but Reason is false.
  • If the Assertion and Reason both are false.
  • If Assertion is false but Reason is true.
Assertion When a simple pendulum is made to oscillate on the surface of moon, its time period increases.
Reason Moon is much smaller as compared to earth.
  • If both Assertion and Reason are true and the Reason is the correct explanation of the Assertion.
  • If both Assertion and Reason are true but Reason is not the correct explanation of the Assertion.
  • If Assertion is true but Reason is false.
  • If the Assertion and Reason both are false.
  • If Assertion is false but Reason is true.
Assertion Resonance is special case of forced vibration in which the natural frequency of vibration of the body is the same as the impressed frequency of external periodic force and the amplitude of forced vibration is maximum.
Reason The amplitude of forced vibrations of a body increase with an increase in the frequency of the externally impressed periodic force.
  • If both Assertion and Reason are true and the Reason is the correct explanation of the Assertion.
  • If both Assertion and Reason are true but Reason is not the correct explanation of the Assertion.
  • If Assertion is true but Reason is false.
  • If the Assertion and Reason both are false.
  • If Assertion is false but Reason is true.
Assertion The graph of total energy of a particle in S.H.M. w.r.t., position is a straight line with zero slope.
Reason Total energy of particle in S.H.M. remains constant throughout its motion.
  • If both Assertion and Reason are true and the Reason is the correct explanation of the Assertion.
  • If both Assertion and Reason are true but Reason is not the correct explanation of the Assertion.
  • If Assertion is true but Reason is false.
  • If the Assertion and Reason both are false.
  • If Assertion is false but Reason is true.
Assertion Consider motion for a mass spring system under gravity, motion of M is not a simply harmonic motion unless Mg is negligibly small.
Reason For simple harmonic motion acceleration must be proportional to displacement and is directed towards the mean position.
Physics-Oscillations-85078.png
  • If both Assertion and Reason are true and the Reason is the correct explanation of the Assertion.
  • If both Assertion and Reason are true but Reason is not the correct explanation of the Assertion.
  • If Assertion is true but Reason is false.
  • If the Assertion and Reason both are false.
  • If Assertion is false but Reason is true.
Assertion In simple harmonic motion, the velocity is maximum when acceleration is minimum.
Reason Displacement and velocity of S.H.M. differ is phase by π/2.
  • If both Assertion and Reason are true and the Reason is the correct explanation of the Assertion.
  • If both Assertion and Reason are true but Reason is not the correct explanation of the Assertion.
  • If Assertion is true but Reason is false.
  • If the Assertion and Reason both are false.
  • If Assertion is false but Reason is true.
Assertion Damped oscillation indicates loss of energy.
Reason The energy loss in damped oscillation may be due to friction, air resistance etc.
  • If both Assertion and Reason are true and the Reason is the correct explanation of the Assertion.
  • If both Assertion and Reason are true but Reason is not the correct explanation of the Assertion.
  • If Assertion is true but Reason is false.
  • If the Assertion and Reason both are false.
  • If Assertion is false but Reason is true.
Assertion In a S.H.M., kinetic and potential energies become equal when the displacement is 1/√2 times the amplitude.
Reason In S.H.M. kinetic energy is zero when potential energy is maximum.
  • If both Assertion and Reason are true and the Reason is the correct explanation of the Assertion.
  • If both Assertion and Reason are true but Reason is not the correct explanation of the Assertion.
  • If Assertion is true but Reason is false.
  • If the Assertion and Reason both are false.
  • If Assertion is false but Reason is true.
Assertion If the amplitude of a simple harmonic oscillator is doubled, its total energy becomes four times.
Reason The total energy is directly proportional to the square of amplitude of vibration of the harmonic oscillator.
  • If both Assertion and Reason are true and the Reason is the correct explanation of the Assertion.
  • If both Assertion and Reason are true but Reason is not the correct explanation of the Assertion.
  • If Assertion is true but Reason is false.
  • If the Assertion and Reason both are false.
  • If Assertion is false but Reason is true.
Assertion For an oscillating simple pendulum, the tension in the string is maximum at the mean position and minimum at the extreme position.
Reason The velocity of oscillating bob in simple harmonic motion is maximum at the mean position.
  • If both Assertion and Reason are true and the Reason is the correct explanation of the Assertion.
  • If both Assertion and Reason are true but Reason is not the correct explanation of the Assertion
  • If Assertion is true but Reason is false.
  • If the Assertion and Reason both are false.
  • If Assertion is false but Reason is true.
Assertion The spring constant of a spring is k. When it is divided into n equal parts, then spring constant of one piece is kin.
Reason The spring constant is independent of material used for the spring
  • If both Assertion and Reason are true and the Reason is the correct explanation of the Assertion.
  • If both Assertion and Reason are true but Reason is not the correct explanation of the Assertion
  • If Assertion is true but Reason is false.
  • If the Assertion and Reason both are false.
  • If Assertion is false but Reason is true.
Assertion The periodic time of a hard spring is less as compared to that of a soft spring.
Reason The periodic time depends upon the spring constant, and spring constant is large for hard spring.
  • If both Assertion and Reason are true and the Reason is the correct explanation of the Assertion.
  • If both Assertion and Reason are true but Reason is not the correct explanation of the Assertion.
  • If Assertion is true but Reason is false.
  • If the Assertion and Reason both are false.
  • If Assertion is false but Reason is true.
Assertion In extreme position of a particle executing S.H.M., both velocity and acceleration are zero.
Reason In S.H.M. acceleration always acts towards mean position.
  • If both Assertion and Reason are true and the Reason is the correct explanation of the Assertion.
  • If both Assertion and Reason are true but Reason is not the correct explanation of the Assertion.
  • If Assertion is true but Reason is false.
  • If the Assertion and Reason both are false.
  • If Assertion is false but Reason is true.
Assertion Soldiers are asked to break steps while crossing the bridge.
Reason The frequency of marching may be equal to the natural frequency of bridge and may lead to resonance which can break the bridge.
  • If both Assertion and Reason are true and the Reason is the correct explanation of the Assertion.
  • If both Assertion and Reason are true but Reason is not the correct explanation of the Assertion.
  • If Assertion is true but Reason is false.
  • If the Assertion and Reason both are false.
  • If Assertion is false but Reason is true.
Assertion The amplitude of oscillation can never be infinite.
Reason The energy of oscillator is continuously dissipated.
  • If both Assertion and Reason are true and the Reason is the correct explanation of the Assertion.
  • If both Assertion and Reason are true but Reason is not the correct explanation of the Assertion.
  • If Assertion is true but Reason is false.
  • If the Assertion and Reason both are false.
  • If Assertion is false but Reason is true.

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  • If both Assertion and Reason are true and the Reason is the correct explanation of the Assertion.
  • If both Assertion and Reason are true but Reason is not the correct explanation of the Assertion.
  • If Assertion is true but Reason is false.
  • If the Assertion and Reason both are false.
  • If Assertion is false but Reason is true.
Assertion The amplitude of an oscillating pendulum decreases gradually with time.
Reason The frequency of the pendulum decreases with time.
  • If both Assertion and Reason are true and the Reason is the correct explanation of the Assertion.
  • If both Assertion and Reason are true but Reason is not the correct explanation of the Assertion.
  • If Assertion is true but Reason is false.
  • If the Assertion and Reason both are false.
  • If Assertion is false but Reason is true.
The period of a simple pendulum, whose bob is a hollow metallic sphere, is T. The period is T1 when the bob is filled with sand, T2 when it is filled with mercury and T3 when it is half-filled with mercury. Which of the following is true
Physics-Oscillations-85090.png
  • T = T1 = T2 > T3
  • T1 = T2 = T2 > T
  • T > T3 > 1 = T2
  • T = T1 = T2 < T3
A pendulum has time period Tin air. When it is made to oscillate in water, it acquired a time period T\'=√2 T. The density of the pendulum bob is equal to (density of water = 1)
  • √2
  • 2
  • 2√2
  • None of these
An object of mass 0.2 kg executes simple harmonic along X-axis with frequency of 25/π Hz. At the position X = 0.04 m, the object has kinetic energy of 0.5 J and potential energy of 0.4 J. Amplitude of oscillation in meter is equal to
  • 0.05
  • 0.06
  • 0.01
  • None of these
Time period of a block suspended from the upper plate of a parallel plate capacitor by a spring of stiffness k is T. When block is uncharged. If a charge q is given to the block then, the new time period of oscillation will be
Physics-Oscillations-85093.png
  • T
  • > T
  • < T
  • ≥ T
A man weighing 60 kg stands on the horizontal platform of a spring balance. The platform starts executing simple harmonic motion of amplitude 0.1 m and frequency 2/π Hz. Which of the following statements is correct
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  • The spring balance reads the weight of man as 60 kg
  • The spring balance reading fluctuates between 60 kg and 70 kg
  • The spring balance reading fluctuates between 50 kg and 60 kg
  • The spring balance reading fluctuates between 50 kg and 70 kg
A man having a wrist watch and a pendulum clock rises on a TV tower. The wrist watch and pendulum clock by chance fall from the top of the tower. Then
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  • Both will keep correct time during the fall
  • Both will keep incorrect time during the fall
  • Wrist watch will keep correct time and clock will become fast
  • Clock will stop but wrist watch will function normally
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