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If the length of a simple pendulum is eq...

If the length of a simple pendulum is equal to the radius of the earth, its time period will be

A

`2pisqrt(R//g)`

B

`2pisqrt(R//2g)`

C

`2pisqrt(2R//g)`

D

infinite

Text Solution

Verified by Experts

The correct Answer is:
B
If the length of a simple pendulum in comparable to radius of earth R then `(1)/(1_(eff))=(1)/(R )+(1)/(1) Rightarrow 1_(eff)=(R )/(2)`
`T=2pisqrt((1_(eff))/(g))=2pisqrt(R )/(2g)`
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