The periodic time of a simple pendulum of len | vedclass

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(B) The periodic time $(T)$ of a simple pendulum is given by the formula $T = 2\pi \sqrt{\frac{L}{g}}$,where $L$ is the length of the pendulum and $g$

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$5$

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(B) The periodic time $(T)$ of a simple pendulum is given by the formula $T = 2\pi \sqrt{\frac{L}{g}}$,where $L$ is the length of the pendulum and $g$ is the acceleration due to gravity.From this formula,it is clear that the periodic time $(T)$ depends only on the length $(L)$ of the pendulum and the acceleration due to gravity $(g)$.It is independent of the amplitude of oscillation,provided the amplitude is small.Since the length of the pendulum remains unchanged $(1\, m)$,the periodic time will remain $5\, s$ even if the amplitude is increased from $2\, cm$ to $4\, cm$.

The periodic time of a simple pendulum of length $1\, m$ and amplitude $2\, cm$ is $5\, s$. If the amplitude is made $4\, cm$,its periodic time in seconds will be

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