A simple pendulum has a time period T1 when on the earth's surface and T2 when taken to a height R above the earth's surface, where R is the radius of the earth. The value of T1T2 is:
A
1
B
2
C
4
D
2
Hard
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Solution
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Correct option is D)
Time period of a simple pendulum =2πgl
⇒g on earth's surface =R2GM
g on a height R above earth's surface =(2R)2GM
⇒T1 (time period on earth's surface ) =2πGMl(R2)
T2 (time period at a height ′h′ above earth's surface ) =2πGMl(2R)2