JEE Physics Oscillations MCQs Set B

Question: The circular motion of a particle with constant speed is

• a) Periodic but not simple harmonic
• b) Period and simple harmonic
• c) Simple harmonic but not periodic
• d) Neither periodic nor simple harmonic

Answer: Periodic but not simple harmonic

Question:

• a) 0.03 s
• b) 0.25 s
• c) 0.52 s
• d) 1.05 s

Answer: 0.03 s

Question: A 1.00 × 10^–20 kg particle is vibrating under simple harmonic motion with a period of 1.00 × 10^–5 s and with a maximum speed of 1.00 × 10³ m/s. The maximum displacement of particle from mean position is

• a) 1.59 mm
• b) 1.00 m
• c) 3.18 mm
• d) 10 m

Answer: 1.59 mm

Question:

• a)

  

• b)

  

• c)

  

• d)

  

Answer:

Question:

• a) 139.56 m/s²
• b) 69.78 m/s²
• c) – 69.78 m/s²
• d) – 139.56 m/s²

Answer: 139.56 m/s²

Question: The time period of a particle executing S.H.M. is 8 s. At t = 0 it is at the mean position. The ratio of distance covered by the particle in 1st second to the 2nd second is

• a)

  

• b)

  

• c)

  

• d)

  

Answer:

Question: Two particle executing S.H.M. of same amplitude of 20 cm with same period along the same line about same equilibrium position. The maximum distance between the two is 20 cm. Their phase difference in radian is equal to

• a)

  

• b)

  

• c)

  

• d)

  

Answer:

Question:  A particle execute S.H.M. along a straight line. The amplitude of oscillation is 2 cm. When displacement of particle from the mean position is 1 cm, the magnitude of its acceleration is equal to magnitude of its velocity. The time period of oscillation is

• a)

  

• b)

  

• c)

  

• d)

  

Answer:

Question:

• a)

  

• b)

  

• c)

  

• d)

  

Answer:

Question:

• a) 31.4 cm/s
• b) 28.3 cm/s
• c) 20.5 cm/s
• d) 24.7 cm/s

Answer: 31.4 cm/s

Question:

• a)

  

• b)

  

• c)

  

• d) Zero

Answer:

Question:

• a)

  

• b)

  

• c)

  

• d)

  

Answer:

Question:

• a)

  

• b)

  

• c)

  

• d)

  

Answer:

Question: A loaded vertical spring executes S.H.M. with a time period of 4 s. The difference between the kinetic energy and potential energy of this system varies with a period of

• a) 2 s
• b) 1 s
• c) 8 s
• d) 4 s

Answer: 2 s

Question: As a body performs S.H.M., its potential energy U varies with time t as indicated in

• a)

  

• b)

  

• c)

  

• d)

  

Answer:

Question: A particle is performing S.H.M. with energy of vibration 90 J and amplitude 6 cm. When the particle reaches at distance 4 cm from mean position, it is stopped for a moment and then released. The new energy of vibration will be

• a) 40 J
• b) 50 J
• c) 90 J
• d) 60 J

Answer: 40 J

Question:

• a) C
• b) B
• c) A
• d) Same for all

Answer: C

Question: If the particle repeats its motion after a fixed time interval of 8 s then after how much time its maximum value of PE will be attained after attaining its minimum value?

• a) 2 s
• b) 4 s
• c) 8 s
• d) 1 s

Answer: 2 s

Question: A linear harmonic oscillator of force constant 6 × 10⁵ N/m and amplitude 4 cm, has a total energy 600 J. Select the correct statement.

• a) All of these
• b) Maximum kinetic energy is 480 J
• c) Maximum potential energy is 600 J
• d) Minimum potential energy is 120 J

Answer: All of these

Question: A second’s pendulum is mounted in a rocket. Its period of oscillation will decrease when rocket is

• a) Moving down with uniform acceleration
• b) Moving around the earth in geostationary orbit
• c) Moving up with uniform velocity
• d) Moving up with uniform acceleration

Answer: Moving down with uniform acceleration

Question: The curve between square of frequency of oscillation and length of the simple pendulum is

• a) Hyperbola
• b) Ellipse
• c) Parabola
• d) Straight line

Answer: Hyperbola

Question:

• a)

  

• b)

  

• c)

  

• d)

  

Answer:

Question:  A small iron ball of mass m is suspended with the help of a massless rod of length L and is free to oscillate in vertical plane. Its time period of oscillation is

• a)

  

• b)

  

• c)

  

• d)

  

Answer:

Question:

• a)

  

• b)

  

• c)

  

• d)

  

Answer:

Question:

• a) g metre
• b)

  

• c)

  

• d)

  

Answer:  g metre

Question:

• a)

  

• b)

  

• c)

  

• d)

  

Answer:

Question: A flat horizontal board moves up and down under S.H.M. vertically with amplitude A. The shortest permissible time period of the vibration such that an object placed on the board may not lose contact with the board is

• a)

  

• b)

  

• c)

  

• d)

  

Answer:

Question:

• a)

  

• b)

  

• c)

  

• d)

  

Answer:

Question: When a mass m is attached to a spring it oscillates with period 4 s. When an additional mass of 2 kg is attached to a spring, time period increases by 1 s. The value of m is

• a) 3.5 kg
• b) 8.2 kg
• c) 4.7 kg
• d) 2.6 kg

Answer: 3.5 kg

Question:

• a) Only (A) and (C)
• b) Only (A)
• c) Only (A) and (B)
• d) Only (D) does not represent S.H.M.

Answer: Only (A) and (C)

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)

  

• b)

  

• c)

  

• d) 0

Answer:

Question: Two Simple Harmonic Motions of angular frequency 100 and 1000 rad s–1 have the same displacement amplitude. The ratio of their maximum accelerations is

• a) 1 : 10²
• b) 1 : 10³
• c) 1 : 10
• d) 1 : 10⁴

Answer: 1 : 10²

Question:

• a)

  

• b)

  

• c)

  

• d)

  

Answer:

Question: Which of the following is simple harmonic motion?

• a) Wave moving through a string fixed at both ends
• b) Particle moving in a circle with uniform speed
• c) Earth spinning about its axis
• d) Ball bouncing between two rigid vertical walls

Answer: Wave moving through a string fixed at both ends

Question: A particle executes S.H.M.. along x-axis. The force acting on it is given by

• a)

  

• b)

  

• c)

  

• d) kx

Answer:

Question: Which one of the following statements is true for the speed v and the acceleration a of a particle executing simple harmonic motion?

• a) When v is maximum, a is zero
• b) When v is zero, a is zero
• c) Value of a is zero, whatever may be the value of v
• d) When v is maximum, a is maximum

Answer: When v is maximum, a is zero

Question: A particle executing simple harmonic motion of amplitude 5 cm has maximum speed of 31.4 cm/s. The frequency of its oscillation is

• a) 1 Hz
• b) 2 Hz
• c) 3 Hz
• d) 4 Hz

Answer: 1 Hz

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

• a)

  

• b)

  

• c)

  

• d) Zero

Answer:

Question: A particle executes simple harmonic oscillation with an amplitude a. The period of oscillation is T. The minimum time taken by the particle to travel half of the amplitude from the equilibrium position is

• a)

  

• b)

  

• c)

  

• d)

  

Answer:

Question:

• a)

  

• b)

  

• c)

  

• d)

  

Answer:

Question: Which one of the following equations of motion represents simple harmonic motion? (where k, k₀ , k₁ and a are all positive)

• a)

  

• b)

  

• c) Acceleration = k(x + a)
• d) Acceleration = kx

Answer:

Question:

• a)

  

• b)

  

• c)

  

• d) Non-simple harmonic motion

Answer:

Question:

• a)

  

• b)

  

• c)

  

• d)

  

Answer:

Question: In a simple harmonic motion, when the displacement is one-half the amplitude, what fraction of the total energy is kinetic?

• a) 

  

• b)

  

• c)

  

• d) Zero

Answer:

Question:  A linear harmonic oscillator of force constant 2 × 10⁶ N/m and amplitude 0.01 m has a total mechanical energy of 160 J. Its

• a) Maximum P.E. is 160 J
• b) Maximum P.E. is 100 J
• c) Maximum P.E. is zero
• d) Maximum P.E. is 120 J

Answer: Maximum P.E. is 160 J

Question: Displacement between maximum potential energy position and maximum kinetic energy position for a particle executing simple harmonic motion is

• a) ± a
• b) – 1
• c) + a
• d)

  

Answer:  ± a

Question:

• a)

  

• b)

  

• c)

  

• d)

  

Answer:

Question: The potential energy of a simple harmonic oscillator when the particle is half way to its end point is

• a)

  

• b)

  

• c)

  

• d)

  

Answer:

Question: If the length of a simple pendulum is increased by 2%, then the time period

• a) Increases by 1%
• b) Decreases by 1%
• c) Increases by 2%
• d) Decreases by 2%

Answer: Increases by 1%

Question: Two simple pendulums of length 5 m and 20 m respectively are given small linear displacements in one direction at the same time. They will again be in the same phase when the pendulum of shorter length has completed ______ oscillations.

• a) 2
• b) 1
• c) 5
• d) 3

Answer: 2

Question:

• a)

  

• b)

  

• c)

  

• d)

  

Answer:

Question:  A mass m is vertically suspended from a spring of negligible mass, the system oscillates with a frequency n. What will be the frequency of the system, if a mass 4m is suspended from the same spring?

• a)

  

• b)

  

• c) 2n
• d) 4n

Answer:

Question:

• a)

  

• b)

  

• c)

  

• d)

  

Answer:

Question: The time period of mass suspended from a spring is T. If the spring is cut into four equal parts and the same mass is suspended from one of the parts, then the new time period will be

• a)

  

• b)

  

• c) 2T
• d) T

Answer:

Question: The period of oscillation of a mass M suspended from a spring of negligible mass is T. If along with it another mass M is also suspended, the period of oscillation will now be

• a)

  

• b) T
• c)

  

• d) 2T

Answer:

Question:

• a) 10.0 cm
• b) 4.0 cm
• c) Any value less than 12.0 cm
• d) 8.0 cm

Answer: 10.0 cm

Question:

• a)

  

• b)

  

• c)

  

• d)

  

Answer:

Question:

• a)

  

• b)

  

• c)

  

• d)

  

Answer:

Question: In case of a forced vibrations, the resonance wave becomes very sharp when the

• a) Damping force is small
• b) Applied periodic force is small
• c) Restoring force is small
• d) Quality factor is small

Answer: Damping force is small

Question:

• a) Circular motion
• b) None of these
• c) Elliptical motion
• d) Straight motion

Answer: Circular motion

Question:

• a) A circle
• b) An ellipse
• c) None of these
• d) A hyperbola

Answer: A circle

Question: The damping force on an oscillator is directly proportional to the velocity. The units of the constant of proportionality are

• a) kg s^–1
• b) kg s
• c) kg ms^–2
• d) kg ms^–1

Answer: kg s^–1

Question: A wave has S.H.M. whose period is 4 s while another wave which also possess S.H.M. has its period 3 s. If both are combined, then the resultant wave will have the period equal to

• a) 12 s
• b) 3 s
• c) 5 s
• d) 4 s

Answer: 12 s