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The time period of a periodic motion is defined as:
- A) The time taken to complete one full oscillation
- B) The number of oscillations completed per second
- C) The time between two successive maximum displacements
- D) The time required for the displacement to become zero
Answer: A) The time taken to complete one full oscillation
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Which of the following describes simple harmonic motion (S.H.M.)?
- A) The displacement is proportional to the square of time
- B) The acceleration is proportional to the velocity
- C) The restoring force is proportional to the displacement from the equilibrium position
- D) The velocity is constant throughout the motion
Answer: C) The restoring force is proportional to the displacement from the equilibrium position
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In simple harmonic motion, the phase of the motion refers to:
- A) The velocity of the particle
- B) The position of the particle at a given time
- C) The acceleration of the particle
- D) The time taken for the particle to complete one full oscillation
Answer: B) The position of the particle at a given time
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The restoring force in the oscillation of a spring is given by:
- A) F = -kx
- B) F = kx
- C) F = -mg
- D) F = -mω²x
Answer: A) F = -kx
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The energy in simple harmonic motion is:
- A) Constant, with all energy being potential
- B) Constant, with all energy being kinetic
- C) Constant, with energy alternating between kinetic and potential
- D) Increasing continuously over time
Answer: C) Constant, with energy alternating between kinetic and potential
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The time period of a simple pendulum depends on:
- A) The amplitude of the oscillation
- B) The mass of the bob
- C) The length of the pendulum
- D) The displacement of the bob
Answer: C) The length of the pendulum
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The expression for the time period of a simple pendulum is:
- A) T = 2π√(l/g)
- B) T = 2π√(g/l)
- C) T = 2π√(l²/g)
- D) T = 2π√(g/l²)
Answer: A) T = 2π√(l/g)
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Which of the following is true for wave motion?
- A) Waves cannot transfer energy
- B) Wave velocity depends on the frequency of the wave
- C) Waves can transfer energy without transferring matter
- D) The amplitude of the wave is independent of the medium
Answer: C) Waves can transfer energy without transferring matter
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The speed of a travelling wave is given by:
- A) v = λ/T
- B) v = T/λ
- C) v = λf
- D) v = f/λ
Answer: C) v = λf
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In a progressive wave, the displacement relation is given by:
- A) y = A cos(kx - ωt)
- B) y = A sin(kx + ωt)
- C) y = A cos(kx + ωt)
- D) y = A sin(kx - ωt)
Answer: A) y = A cos(kx - ωt)
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The principle of superposition of waves states that:
- A) The resultant displacement is the sum of the displacements of individual waves
- B) The resultant displacement is the product of the displacements of individual waves
- C) The waves cancel each other out completely
- D) Waves cannot interfere with each other
Answer: A) The resultant displacement is the sum of the displacements of individual waves
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When two waves interfere constructively, the resultant amplitude is:
- A) Equal to the sum of individual amplitudes
- B) Zero
- C) Equal to the difference of individual amplitudes
- D) Equal to the amplitude of the larger wave
Answer: A) Equal to the sum of individual amplitudes
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The phenomenon of beats is a result of:
- A) Reflection of waves
- B) Interference between two waves of slightly different frequencies
- C) Transmission of waves through a medium
- D) Doppler effect
Answer: B) Interference between two waves of slightly different frequencies
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In the standing wave formed in a string, the distance between two consecutive nodes is:
Answer: A) λ/2
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In an organ pipe open at both ends, the fundamental frequency corresponds to:
- A) A node at both ends
- B) A node at one end and an antinode at the other end
- C) An antinode at both ends
- D) A node at the center of the pipe
Answer: C) An antinode at both ends