The time taken by a simple pendulum to complete one oscillation can be increased, if theI. value of 'g' is increasedII. value of 'g' is decreasedIII. length of the pendulum is increasedIV. length of the pendulum is decreased
Correct answer: C. II and III.
- A. I and III
- B. I and IV.
- C. II and III.
- D. II and IV.
Explanation
The period of a simple pendulum is given by the formula T = 2π√(L/g), where T is the time period, L is the length of the pendulum, and g is the acceleration due to gravity. To increase the time period, you can either decrease the value of 'g' or increase the length 'L'. Therefore, the correct combination is II and III. Increasing 'g' or decreasing 'L' would result in a shorter time period, not longer, which makes options I and III, I and IV, and II and IV incorrect.
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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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