If a simple pendulum is shifted from Karachi to the peak of K-2 mountain, then its time period
Correct answer: D. Remains the same.
- A. Increases
- B. Decreases
- C. Becomes zero
- D. Remains the same.
Explanation
The time period of a simple pendulum is determined by the formula T = 2π√(L/g), where L is the length of the pendulum and g is the acceleration due to gravity. As altitude increases, g decreases slightly. Moving a pendulum from Karachi to the peak of K-2 mountain will result in a very small decrease in g. However, this change is minimal and does not significantly affect the time period of the pendulum, so the time period effectively remains the same. Therefore, the correct answer is D:remains the same.. Options A and B are incorrect because the change in g is too small to cause a noticeable increase or decrease in the time period. Option C is incorrect because the time period cannot be zero.
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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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