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Q.

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

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a

1/4

b

4

c

1/2

d

2

answer is D.

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Detailed Solution

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T=2πlggh=g(RR+h)2=g(RR+R)2=g4T∝1g⇒=Tggh=2T

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