The length of a seconds pendulum is .... cm. | vedclass

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(B) seconds pendulum is a pendulum whose period of oscillation is exactly $2 \ s$.Using the formula for the time period of a simple pendulum: $T = 2\p

Vedclass · Accepted Answer

$99$

Vedclass · Answer

(B) seconds pendulum is a pendulum whose period of oscillation is exactly $2 \ s$.Using the formula for the time period of a simple pendulum: $T = 2\pi \sqrt{\frac{l}{g}}$.Squaring both sides: $T^2 = 4\pi^2 \frac{l}{g}$.Rearranging for length $l$: $l = \frac{gT^2}{4\pi^2}$.Given $T = 2 \ s$ and taking $g = 9.8 \ m/s^2$ (or $980 \ cm/s^2$) and $\pi^2 \approx 9.87$:$l = \frac{980 	imes (2)^2}{4 	imes 9.87} = \frac{980 	imes 4}{39.48} \approx 99.29 \ cm$.Standard approximation often used in physics textbooks takes $g = \pi^2 \ m/s^2$,which yields $l = 1 \ m = 100 \ cm$. However,using $g = 9.8 \ m/s^2$,the value is approximately $99.3 \ cm$. Among the given options,$99 \ cm$ is the closest standard value.

The length of a seconds pendulum is .... $cm$.

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