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If the amplitude of Simple Harmonic Motion (S.H.M) is doubled, then the speed v at the mean position will be:

Correct answer: C. 4v

  • A. 2v
  • B. 3v
  • C. 4v
  • D. v

Explanation

At the mean position of S.H.M, velocity (v) is maximum. If the amplitude is doubled, the maximum velocity at the mean position also doubles. Therefore, if the original maximum velocity was v, the new maximum velocity becomes 2v.

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About Simple Harmonic Motion

Simple harmonic motion is oscillation in which acceleration is directly proportional to displacement and directed toward the equilibrium position. Work includes displacement, velocity, acceleration, phase, period, frequency, amplitude and energy, with applications to springs and simple pendulums. The restoring force and the conditions for SHM distinguish it from general periodic motion.

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