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A simple pendulum is taken to 64 km abov...

A simple pendulum is taken to 64 km above the earth's surface. Its new time period will

A

increase by 1%

B

decrease by 1%

C

increase by 2%

D

decrease by 2%

Text Solution

Verified by Experts

The correct Answer is:
A
`T= 2pi sqrt((l)/(g))=2pi sqrt((l(R+h)^(2))/(GM))`
`T prop (R+h)`
or `(T)/(T) =(R+h)/(R )=1+(h)/(R )=1+(1)/(100) :. (T.)/(T)-1=(1)/(100)`
`:. ((T.-T)/(T)) xx 100=1`
Time period will increase by 1%
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