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The angular frequency of a pendulum is o...

The angular frequency of a pendulum is `omega` rad `s^(-1)`. If the length is made one fourth of the original length, the angular frequency becomes :

A

`(omega)/(2)`

B

`2omega`

C

`4omega`

D

`omega//4`

Text Solution

Verified by Experts

The correct Answer is:
B
`omega=2pi v=2pi xx(1)/(2pi)sqrt((g)/(l))=sqrt((g)/(l))`
`:.omega.=sqrt((g)/((l)/(4)))=sqrt((4g)/(l))=2sqrt((g)/(l))impliesomega.=2omega`
So correct choice is (b).
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