If the length of a pendulum is made 9 times a | vedclass

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(A) The time period $T$ of a simple pendulum is given by the formula: $T = 2\pi \sqrt{\frac{l}{g}}$.From this formula,we can see that $T \propto \sqrt

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$3T$

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(A) The time period $T$ of a simple pendulum is given by the formula: $T = 2\pi \sqrt{\frac{l}{g}}$.From this formula,we can see that $T \propto \sqrt{l}$.If the length $l$ is made $9$ times $(l' = 9l)$,the new time period $T'$ becomes: $T' = 2\pi \sqrt{\frac{9l}{g}} = 3 	imes (2\pi \sqrt{\frac{l}{g}}) = 3T$.Furthermore,the time period of a simple pendulum is independent of the mass of the bob. Therefore,changing the mass does not affect the time period.Thus,the new time period is $3T$.

If the length of a pendulum is made $9$ times and the mass of the bob is made $4$ times,then the value of the time period becomes:

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