If the length of the second pendulum becomes four times, then its time period will become________________?
Correct answer: D. 2 times
- A. 4 times
- B. 6 times
- C. 8 times
- D. 2 times
Explanation
The pendulum period is T = 2π√(L/g), so T is proportional to the square root of length. If L becomes 4L, the new period is T' = T√4 = 2T, meaning it becomes two times as large. The common mistake is choosing a by assuming period is directly proportional to length.
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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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