The time period of simple pendulum of mass 'm' is 'T'. When the simple pendulum's mass is replaced by another mass of 3 times the older mass such that the length of pendulum will not change then the new time period will be:
Correct answer: A. T
- A. T
- B. 3T
- C. T/3
- D. 2T
Explanation
The time period of a simple pendulum is given by:T=2π√l/gAccording to the above formula, the time period of a simple pendulum is independent of the mass and depends only on the length and acceleration due to gravity.
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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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