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If T and T' are the periods of a sim...

If T and T' are the periods of a simple pendulum and a conical pendulum of the sample length then .

A

`T=T'`

B

`Tlt T'`

C

`T gt T'`

D

`T=(1)/(2) T'`

Text Solution

Verified by Experts

The correct Answer is:
C

`T sin theta = (mv^(2))/( r) , T cos theta = mg `
` therefore ((mv^(2))/(r ))/(mg) = tan theta `
` therefore (mv^2)/( r) = mg tan theta = mg (r ) /( sqrt(L^(2)-r^(2)))`
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