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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 T2/T1 is

a
1
b
2
c
4
d
2

detailed solution

Correct option is D

If acceleration due to gravity is g at the surface of earth then at height R it value becomesg'=gRR+h2=g4T1=2πlg and T2=2πlg/4∴T2T1=2

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