When there is an increase in the length of the simple pendulum then its time period will:
Correct answer: D. Increase
- A. Remain the same
- B. Decrease
- C. First decrease then increase
- D. Increase
Explanation
The time period T 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.From this formula, we can see that T is directly proportional to the square root of the length l. Therefore, if the length of the pendulum increases, the time period will also increase.Option A is incorrect because the time period does not remain constant. Option B is incorrect because the time period does not decrease with an increase in length. Option C is incorrect as the time period does not first decrease and then increase; it continuously increases with an increase in length. Option D is correct as it accurately describes the relationship.
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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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