When the length of a simple pendulum is doubled, the ratio of its new time period to old time period is:
Correct answer: D. √2
- A. 3√2
- B. 1√2
- C. 2√2
- D. √2
Explanation
The formula for time period is: T = 2π x √L/gUsing this formula, we see that doubling length results in multiplying time period with √2.
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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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