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The time period of the simple pendulum is 2 second. If its length is increased by 4 times, then its period becomes:

Correct answer: D. 4s

  • A. 16s
  • B. 12s
  • C. 8s
  • D. 4s

Explanation

Since time period is proportional to the square root of length, increasing the length 4 times would cause the time period to increase only 2 times. Thus Time period = 4s.

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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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