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: Is non uniform

Question: What is the phase difference between acceleration and velocity of a particle executing simple harmonic motion?

• a)

  

• b)

  

• c)

  

• d) Zero

Answer:

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: An ellipse

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: Infinite

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: All of these

Question: The equation of simple harmonic motion may not be expressed as (each term has its usual meaning)

• a)

  

• b)

  

• c)

  

• d)

  

Answer:

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: The body is uniformly accelerated

Question:

• a) 0.02 s
• b) 0.1 s
• c) 0.2 s
• d) 0.01 s

Answer: 0.02 s

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: Oscillatory

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: Translatory

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: Both (2) & (3)

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: Decrease

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: Infinite

Question:

• a) Infinite
• b) Zero
• c) 2
• d) 4

Answer: Infinite

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: 1 rad s^–1 & 5 m

Question:

• a)

  

• b)

  

• c)

  

• d)

  

Answer:

Question:

• a)

  

• b)

  

• c)

  

• d)

  

Answer:

Question:

• a)

  

• b)

  

• c)

  

• d)

  

Answer:

Question: Two particles executing S.H.M. of same frequency, meet at x = +A/2, while moving in opposite directions. Phase difference between the particles is

• a)

  

• b)

  

• c)

  

• d)

  

Answer:

Question:

• a)

  

• b)

  

• c)

  

• d)

  

Answer:

Question:

• a)

  

• b)

  

• c)

  

• d)

  

Answer:

Question: For a particle executing simple harmonic motion, the amplitude is A and time period is T. The maximum speed will be

• a)

  

• b)

  

• c)

  

• d)

  4AT

Answer:

Question:

• a)

  

• b)

  

• c)

  

• d) v₀

Answer:

Question:

• a)

  

• b)

  

• c)

  

• d)

  

Answer:

Question:

• a)

  

• b)

  

• c)

  

• d)

  

Answer:

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: 4 N

Question:

• a) v
• b)

  

• c) 2v
• d) 3v

Answer: v

Question: Which of the following graphs best represents the variation of acceleration ‘a’ with displacement x?

• a)

  

• b)

  

• c)

  

• d)

  

Answer:

Question: A body executes S.H.M. with an amplitude A. At what displacement from the mean position, is the potential energy of the body one-fourth of its total energy?

• a)

  

• b)

  

• c)

  

• d) Some other fraction of A

Answer:

Question:

• a)

  

• b)

  

• c)

  

• d)

  

Answer:

Question: The kinetic energy and potential energy of a particle executing S.H.M. are equal, when displacement in terms of amplitude ‘A’ is

• a)

  

• b)

  

• c)

  

• d)

  

Answer:

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: 3.12 ms^–1

Question:

• a)

  

• b)

  

• c)

  

• d)

  

Answer:

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: 4 times

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: 10

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: 72 s

Question: A simple pendulum with a metallic bob has a time period T. The bob is now immersed in a non-viscous liquid and oscillated. If the density of the liquid is 1/4 that of metal, the time period of the same pendulum will be

• a)

  

• b)

  

• c)

  

• d)

  

Answer:

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: 86.4 s

Question:  A simple pendulum is oscillating in a trolley moving on a horizontal straight road with constant acceleration a. If direction of motion of trolley is taken as positive x direction and vertical upward direction as positive y direction then the mean position of pendulum makes an angle

• a)

  

• b)

  

• c)

  

• d)

  

Answer:

Question: The time period of oscillations of a second’s pendulum on the surface of a planet having mass and radius double those of earth is

• a)

  

• b)

  

• c) 1 s
• d) 4 s

Answer:

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: Parabolic

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: The period will increase first, then decrease to initial value till the sphere is empty

Question:

• a)

  

• b)

  

• c)

  

• d)

  

Answer:

Question: A uniform disc of mass M and radius R is suspended in vertical plane from a point on its periphery. Its time period of oscillation is

• a)

  

• b)

  

• c)

  

• d)

  

Answer:

Question:

• a)

  

• b)

  

• c)

  

• d)

  

Answer:

Question:

• a)

  

• b)

  

• c)

  

• d)

  

Answer:

Question:

• a) 80 cm
• b) 60 cm
• c) 50 cm
• d) 30 cm

Answer: 80 cm

Question:

• a) (b)
• b) (c)
• c) (d)
• d) (a)

Answer: (b)

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: P will run faster than S

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: 10⁴ g

Question:

• a)

  

• b)

  

• c)

  

• d)

  

Answer:

Question: A spring block system in horizontal oscillation has a time-period T. Now the spring is cut into four equal parts and the block is re-connected with one of the parts. The new time period of vertical oscillation will be

• a)

  

• b)

  

• c)

  

• d) 2T

Answer:

Question:

• a)

  

• b)

  

• c)

  

• d)

  

Answer:

Question: In damped oscillations, damping force is directly proportional to speed of oscillator. If amplitude becomes half of its maximum value in 1 s, then after 2 s amplitude will be (A₀– initial amplitude)

• a)

  

• b)

  

• c)

  

• d) A₀

Answer:

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: Frequency of driving force

Question: Resonance is a special case of

• a) Forced oscillations
• b) Undamped oscillations
• c) Damped oscillations
• d) Coupled oscillations

Answer: Forced oscillations

Question:

• a)

  

• b) 2 units
• c) 4 units
• d) 6 units

Answer:

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 straight line

Question: Which of the following represents a S.H.M.?

• a) All of these
• b)

  

• c)

  

• d)

  

Answer: All of these