If a simple pendulum is taken from the peak of Nanga Parbat Mountain to Karachi, then its time period will
Correct answer: D. Increase.
- A. Become zero.
- B. Remain the same.
- C. Decrease four times.
- D. Increase.
Explanation
The time period of a simple pendulum is given by the formula T = 2π√(L/g), where L is the length of the pendulum and g is the acceleration due to gravity. As you move from Nanga Parbat Mountain to Karachi, the value of g increases because Karachi is at sea level, where the gravitational force is slightly stronger due to being closer to the center of the Earth. Therefore, the time period of the pendulum will increase as the pendulum is subjected to stronger gravitational acceleration.Option A is incorrect because the time period cannot become zero unless the pendulum is not oscillating. Option B is incorrect because the time period will change with the change in gravity. Option C is incorrect because there is no reason for the time period to decrease by four times.
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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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