If length of simple pendulum is increased four times what will be effect on its frequency?
Correct answer: A. Half
- A. Half
- B. Double
- C. No effect
- D. None of these
Explanation
The frequency of a simple pendulum is given by:f = 1 / (2π) * √(g/l)where:f is the frequencyg is the acceleration due to gravityl is the length of the pendulumIf the length of the pendulum is increased four times, the new frequency will be:f' = 1 / (2π) * √(g/4l)f' = 1 / (2π) * √(g/l) * 1/2f' = f / 2Therefore, the frequency will be halved.
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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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