If the length of a simple pendulum becomes four times, then its time period will become
Correct answer: A. Two times.
- A. Two times.
- B. Four times.
- C. Six times.
- D. Eight times.
Explanation
The time period T of a simple pendulum is given by the equation:T = 2π√(L/g)where L is the length of the pendulum and g is the acceleration due to gravity. According to this equation, the time period is proportional to the square root of the length of the pendulum. If the length of the pendulum is increased by a factor of four, the time period will increase by a factor of the square root of four, which is two. Therefore, the correct answer is that the time period will become two times the original time period. The other options incorrectly interpret the relationship between length and time period.
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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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