A simple pendulum has a time period \( T_{1} \) when it is on the earth's surface and \( T_{2} \...

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A simple pendulum has a time period \( T_{1} \) when it is on the earth's surface and \( T_{2} \) when it is taken to a height \( 2 R \) above the earth's surface, where \( R \) is the radius of the earth. The value of \( T_{1} / T_{2} \) is
(a) \( 1 / 9 \)
(b) \( 1 / 3 \)
(c) \( \sqrt{3} \)
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