A simple pendulum having time period T is suspended from the ceiling of an elevator that is at rest position.When the elevator falls freely, then the time period of the pendulum will be

Explanation

When the elevator falls freely, it is in a state of free fall, meaning both the elevator and the pendulum are accelerating downwards at the same rate due to gravity. This results in a condition of apparent weightlessness within the elevator. In such a scenario, the tension in the pendulum's string provides no restoring force since the pendulum does not experience any gravitational force relative to the elevator. Therefore, the pendulum cannot oscillate, effectively making its time period infinite.Option A (\( \frac{T}{2} \)) is incorrect because the time period does not decrease. Option B (T) is incorrect because it assumes normal conditions, not free fall. Option C (2T) is incorrect because the time period does not double.