CBSE Class 11 Physics Oscillations MCQs Set B

Question: The ratio of maximum acceleration to maximum velocity in a simple harmonic motion is 10 s^–1. At, t = 0 the displacement is 5 m. The initial phase is 4 p . What is the maximum acceleration?
a) 500 m/s²
b) 500 2 m/s²
c) 750 m/s²
d) 750 2 m/s²
Answer: b

Question: Suppose a tunnel is dug along a diameter of the earth. A particle is dropped from a point, a distance h directly above the tunnel, the motion of the particle is
a) simple harmonic
b) parabolic
c) oscillatory
d) non-periodic
Answer: a

Question: A system exhibiting SHM must possess
a) inertia only
b) elasticity as well as inertia
c) elasticity, inertia and an external force
d) elasticity only
Answer: b

Question: A silver atom in a solid oscillates in simple harmonic motion in some direction with a frequency of 10¹²/sec. What is the force constant of the bonds connecting one atom with the other? (Mole wt. of silver = 108 and Avagadro number = 6.02 ×10²³ gm mole ^–1)
a) 6.4 N/m
b) 7.1 N/m
c) 2.2 N/m
d) 5.5 N/m
Answer: b

Question: The total energy of the particle executing simple harmonic motion of amplitude A is 100 J. At a distance of 0.707 A from the mean position, its kinetic energy is
a) 25 J
b) 50 J
c) 100 J
d) 12.5 J
Answer: b

Question: The motion which is not simple harmonic is
a) vertical oscillations of a spring
b) motion of simple pendulum
c) motion of a planet around the Sun
d) oscillation of liquid column in a U-tube
Answer: c

Question: For a body executing simple harmonic motion, which parameter comes out to be non-periodic ?
a) Displacement
b) Velocity
c) Acceleration
d) None of the options
Answer: d

Question: If a is the amplitude of SHM, then K.E. is equal to the P.E. at ………… distance from the mean position.
a) a/√2
b) a/2
c) a/4
d) a
Answer: a

Question: A body executing linear simple harmonic motion has a velocity of 3 m/s when its displacement is 4 cm and a velocity of 4 m/s when its displacement is 3 cm. What is the amplitude of oscillation ?
a) 5 cm
b) 7.5 cm
c) 10 cm
d) 12.5 cm
Answer: c

Question: For a particle moving according to the equation x = a cos p t, the displacement in 3 s is
a) 0
b) 0.5a
c) 1.5a
d) 2a
Answer: d

Question: The phase difference between the instantaneous velocity and acceleration of a particle executing simple harmonic motion is
a) Π
b) 0.707Π
c) zero
d) 0.5Π
Answer: d

Question: A body executes simple harmonic motion. The potential energy (P.E.), the kinetic energy (K.E.) and total energy (T.E.) are measured as a function of displacement x. Which of the following statement is true?
a) P.E. is maximum when x = 0.
b) K.E. is maximum when x = 0.
c) T.E. is zero when x = 0.
d) K.E. is maximum when x is maximum.
Answer: b

Question: The graph plotted between the velocity and displacement from mean position of a particle executing SHM is
a) circle
b) ellipse
c) parabola
d) straight line
Answer: c

Question: A particle moves on the X-axis according to the equation x = A cos (wt + kx) + B sin (wt + kx). The motion is simple harmonic with amplitude
a) A
b) B
c) A + B
d) A2 + B2
Answer: d

Question: The equation of SHM is y = a Sin (2 pnt + a), then its phase at time ‘t’ is
a) α
b) 2pnt
c) 2pnt + α
d) 2πt
Answer: c

Question: The total energy of a particle executing S.H.M. is proportional to
a) displacement from equilibrium position
b) frequency of oscillation
c) velocity in equilibrium position
d) square of amplitude of motion
Answer: d

Question: Two oscillators are started simultaneously in same phase.
After 50 oscillations of one, they get out of phase by p, that is half oscillation. The percentage difference of frequencies of the two oscillators is nearest to
a) 2%
b) 1%
c) 0.5%
d) 0.25%
Answer: b

Question: When the displacement of a particle executing simple harmonic motion is half of its amplitude, the ratio of its kinetic energy to potential energy is
a) 1 : 3
b) 2 : 1
c) 3 : l
d) l : 2
Answer: c

Question: In SHM, the acceleration is directly proportional to
a) time
b) linear velocity
c) displacement
d) frequency
Answer: c

Question: In S.H.M. the ratio of kinetic energy at mean position to the potential energy when the displacement is half of the amplitude is
a) 4/1
b) 3/2
c) 4/3
d) 1/2
Answer: a

Question: A particle moves in a circular path with a uniform speed. Its motion is
a) periodic
b) oscillatory
c) simple harmonic
d) angular simple harmonic
Answer: a

Question: A pendulum is swinging in an elevator. Its period will be greatest when the elevator is
a) moving upwards at constant speed
b) moving downwards
c) moving downwards at constant speed
d) accelerating downwards
Answer: d

Question: Which of the following is a simple harmonic motion?
a) Particle moving through a string fixed at both ends.
b) Wave moving through a string fixed at both ends.
c) Earth spinning about its axis.
d) Ball bouncing between two rigid vertical walls.
Answer: b

Question: Two particles are oscillating along two close parallel straight lines side by side, with the same frequency and amplitudes. They pass each other, moving in opposite directions when their displacement is half of the amplitude. The mean positions of the two particles lie on a straight line perpendicular to the paths of the two particles. The phase difference is
a) 0
b) 2p/3
c) p
d) p/6
Answer: b

Question: The time period of a seconds pendulum is 2 sec.
The spherical bob which is empty from inside has a mass 50 gram, this now is replaced by another solid of same radius but have different mass of 100 gram. The new time period will be
a) 2 sec
b) 8 sec
c) 4 sec
d) 1 sec
Answer: a

Question: A simple harmonic motion has an amplitude A and time period T. The time required by it to travel from x = A to x = A/2 is
a) T/6
b) T/4
c) T/3
d) T/2
Answer: a

Question: Which of the following is true about total mechanical energy of SHM ?
a) It is zero at mean position.
b) It is zero at extreme position.
c) It is always zero.
d) It is never zero.
Answer: d

Question: A mass of 4 kg suspended from a spring of force constant 800 N m–1 executes simple harmonic oscillations. If the total energy of the oscillator is 4 J, the maximum acceleration (in s^–2) of the mass is
a) 5
b) 15
c) 45
d) 20
Answer: d

Question: A particle of mass m executes simple harmonic motion with amplitude a and frequency n. The average kinetic energy during its motion from the position of equilibrium to the end is
a) 2Π²ma²v²
b) Π2ma²v²
c) 1/4 ma²v²
d) 4 ma²v²
Answer: b

Question: A particle of mass 1 kg is moving in S.H.M. with an amplitude 0.02 and a frequency of 60 Hz. The maximum force acting on the particle is
a) 144 Π²
b) 188 Π²
c) 288 Π²
d) None of the options
Answer: c

Question: Starting from the origin a body oscillates simple harmonically with a period of 2 s. After what time will its kinetic energy be 75% of the total energy?
a) (1/6)s
b) (1/4)s
c) (1/3)s
d) (1/12)s
Answer: a

Question: The amplitude of a particle executing SHM is 4 cm. At the mean position the speed of the particle is 16 cm/sec. The distance of the particle from the mean position at which the speed of the particle becomes 8 √3 cm/s, will be
a) 2√3cm
b)√3 cm
c) 1 cm
d) 2 cm
Answer: d

Question: A particle is executing simple harmonic motion with amplitude A. When the ratio of its kinetic energy to the potential energy is 1 , 4 its displacement from its mean position is
a) 2√5 A
b) √3/2A
c) 3/4A
d) 1/4A
Answer: a

Question: The displacement of a particle is given by r = A(i coswt + jsinwt) r r r . The motion of the particle is
a) simple harmonic
b) on a straight line
c) on a circle
d) with constant acceleration.
Answer: c

Question: A pendulum is hung from the roof of a sufficiently high building and is moving freely to and fro like a simple harmonic oscillator. The acceleration of the bob of the pendulum is 20 m/s² at a distance of 5 m from the mean position. The time period of oscillation is
a) 2∏ s
b) ∏ s
c) 1 s
d) 2 s
Answer: b

Question: Assertion : The graph of total energy of a particle in SHM w.r.t. position is a straight line with zero slope. Reason : Total energy of particle in SHM remains constant throughout its otion.
a) Assertion is correct, reason is correct; reason is a correct explanation for assertion.
b) Assertion is correct, reason is correct; reason is not a correct explanation for assertion
c) Assertion is correct, reason is incorrect
d) Assertion is incorrect, reason is correct.
Answer: c

Question: If < E > and < U > denote the average kinetic and the average potential energies respectively of mass describing a simple harmonic motion, over one period, then the correct relation is
a) < E > = < U >
b) < E > = 2< U >
c) < E > = –2< U >
d) < E > = – < U >
Answer: a

Question: The displacement of a particle in simple harmonic motion in one time period is [A = amplitude]
a) A
b) 2 A
c) 4 A
d) Zero
Answer: d

Question: If a particle takes 0.5 sec to reach position of minimum velocity from previous such position, then
a) T = 6 sec, n = 1/6 Hz
b) T = 2 sec, n = 1 Hz
c) T = 3 sec, n = 3 Hz
d) T = 1 sec, n = 1 Hz
Answer: d

Question: Select the incorrect statement(s) from the following.
I. A simple harmonic motion is necessarily periodic.
II. A simple harmonic motion may be oscillatory
III. An oscillatory motion is necessarily periodic
a) I only
b) II and III
c) I and III
d) I and II
Answer: b