A simple pendulum is suspended from the ceiling of a car and its period of oscillation is \( T \... VIDEO
A simple pendulum is suspended from the ceiling of a car and its period of oscillation is \( T \) when the car is at rest. The car starts moving on a horizontal road with a constant acceleration \( g \) (equal to the acceleration due to gravity, in magnitude) in the forward direction. To keep the time period same, the length of the pendulum
\( \mathrm{P} \)
(a) will have to be increased by \( \sqrt{2} l \)
(b) will have to be increased by \( (\sqrt{2}-1) l \)
(c) will have to be decreased by \( \sqrt{2} l \)
(d) will have to be decreased by \( (\sqrt{2}-1) l \)
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