JEE Physics Oscillations MCQs Set A

Question. If a particle is executing simple harmonic motion, then acceleration of particle
(a) Is non uniform
(b) Is uniform
(c) Varies linearly with time
(d) None of these

Answer: A

Question. The shape of graph plotted between velocity and position of a particle executing simple harmonic motion is
(a) An ellipse
(b) A parabola
(c) A hyperbola
(d) A straight line

Answer: A

Question. If particle is executing simple harmonic motion with time period T, then the time period of its total mechanical energy is
(a) Infinite
(b) Zero
(c) 2T
(d) 3T

Answer: A

Question. Identify the correct definition
(a) All of these
(b) Oscillatory motion described in terms of single sine and cosine functions is called simple harmonic motion
(c) To and fro motion of a particle over the same path about its mean position in certain time interval is called oscillatory motion
(d) If after every certain interval of time, particle repeats its motion then motion is called periodic motion

Answer: A

Question. Select wrong statement about simple harmonic motion
(a) The body is uniformly accelerated
(b) The velocity of the body changes smoothly at all instants
(c) The amplitude of oscillation is symmetric about the equilibrium position
(d) The frequency of oscillation is independent of amplitude

Answer: A

Question. A particle moves under force F = –5(x – 2)³. Motion of the particle
(a) Oscillatory
(b) Translatory
(c) S.H.M.
(d) All of these

Answer: A

Question. For a particle showing motion under the force F = –5(x – 2)², the motion is
(a) Translatory
(b) Oscillatory
(c) S.H.M.
(d) All of these

Answer: A

Question. For a particle showing motion under the force F = –5(x – 2), the motion is
(a) Both (2) & (3)
(b) Oscillatory
(c) S.H.M
(d) None of these

Answer: A

Question. A boy is swinging in a swing. If he stands, the time period will
(a) Decrease
(b) Remain same
(c) Increase
(d) First decrease, then increase

Answer: A

Question. Time period of a simple pendulum in a freely falling lift will be
(a) Infinite
(b) Zero
(c) Finite
(d) All of these

Answer: C

Question. A body executing S.H.M. along a straight line has a velocity of 3 ms^–1 when it is at a distance of 4 m from its mean position and 4 ms–1 when it is at a distance of 3 m from its mean position. Its angular frequency and amplitude are
(a) 1 rad s^–1 & 5 m
(b) 2 rad s^–1 & 10 m
(c) 1 rad s^–1 & 10 m
(d) 2 rad s^–1 & 5 m

Answer: A

Question. A particle of mass 10 g is undergoing S.H.M. of amplitude 10 cm and period 0.1 s. The maximum value of force on particle is about
(a) 4 N
(b) 3.5 N
(c) 2.75 N
(d) 5.6 N

Answer: A

Question. A block is resting on a piston which executes simple harmonic motion with a period 2.0 s. The maximum velocity of the piston, at an amplitude just sufficient for the block to separate from the piston is
(a) 3.12 ms^–1
(b) 2.0 ms^–1
(c) 6.42 ms^–1
(d) 1.57 ms^–1

Answer: A

Question. If a Second’s pendulum is moved to a planet where acceleration due to gravity is 4 times, the length of the second’s pendulum on the planet should be made
(a) 4 times
(b) 8 times
(c) 15 times
(d) 2 times

Answer: A

Question. Two pendulums of length 1.21 m and 1.0 m start vibrating. At some instant, the two are in the mean position in same phase. After how many vibrations of the longer pendulum, the two will be in phase?
(a) 10
(b) 11
(c) 20
(d) 21

Answer: A

Question. The time period of oscillations of a simple pendulum is 1 minute. If its length is increased by 44%. then its new time period of oscillation will be
(a) 72 s
(b) 82 s
(c) 58 s
(d) 96 s

Answer: A

Question. If the length of a clock pendulum increases by 0.2% due to atmospheric temperature rise, then the loss in time of clock per day is
(a) 86.4 s
(b) 43.2 s
(c) 72.5 s
(d) 32.5 s

Answer: A

Question. The shape of graph between time period of a simple pendulum and its length is
(a) Parabolic
(b) Elliptical
(c) Hyperbolic
(d) Straight line

Answer: A

Question. A hollow metal sphere is filled with water through a small hole in it. It is hung by a long thread and is made to oscillate. Water slowly flows out of the hole at the bottom. Select the correct variation of its time period
(a) The period will increase first, then decrease to initial value till the sphere is empty
(b) The period will not be affected at all
(c) The period will go on decreasing till the sphere is empty
(d) The period will go on increasing till the sphere is empty

Answer: A

Question. A clock S is based on oscillations of a spring and a clock P is based on pendulum motion. Both clocks run at the same rate on earth. On a planet having same density as earth but twice the radius then
(a) P will run faster than S
(b) Both run at same rate but different than earth
(c) S will run faster than P
(d) Both run at same rate

Answer: A

Question. A 100 g mass stretches a particular spring by 9.8 cm, when suspended vertically from it. How large a mass must be attached to the spring if the period of vibration is to be 6.28 s?
(a) 10⁴ g
(b) 10⁷ g
(c) 10⁵ g
(d) 1000 g

Answer: A

Question. In forced oscillations, a particle oscillates simple harmonically with a frequency equal to
(a) Frequency of driving force
(b) Natural frequency of body
(c) Difference of frequency of driving force and natural frequency
(d) Mean of frequency of driving force and natural frequency

Answer: A

Question. Resonance is a special case of
(a) Forced oscillations
(b) Undamped oscillations
(c) Damped oscillations
(d) Coupled oscillations

Answer: A

Question. If two mutually perpendicular simple harmonic motion of same amplitude, frequency and having zero phase difference superimpose on a particle, then its resultant path will be
(a) A straight line
(b) A circle
(c) A hyperbola
(d) An ellipse

Answer: A