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  • T is the time period of simple pendulum on the earth’s surface. Its time Period becomes x T when taken to a height R (equal to earth’s radius) above the earth’s surface. Then, the

T is the time period of simple pendulum on the earth’s surface. Its time Period becomes x T when taken to a height R (equal to earth’s radius) above the earth’s surface. Then, the value of x will be:

Option: 1

4


Option: 2

2


Option: 3

\frac{1}{4}


Option: 4

\frac{1}{2}


Answers (1)

best_answer

T=2 \pi \sqrt{\frac{l}{g_{e f f}}}
\text { And } g_{\text {eff above earth's surface }}=\frac{G M}{(R+h)^2}=\frac{G M}{4 R^2}=\frac{g_0}{4}
\begin{aligned} & \mathrm{Now} \frac{T_1}{T_2}=\sqrt{\frac{g_0}{4}\times \frac{1}{g_0}} \\ & T_2=2 T_1 \\ & \therefore x=2 \end{aligned}

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Rakesh

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