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A rod of length L is suspended verticall...

A rod of length `L` is suspended vertically from a point at a distance x from one end to oscillate under gravity. What should be `x` (approximately) so that it oscillates with minimum time period?

A

`L//12`

B

`L//3`

C

`5L//12`

D

`2L//3`

Text Solution

Verified by Experts

The correct Answer is:
C
A rod of …………..
From graph of `T` of rod before `x` there will be only two points on the either side of centre of mass about wich `T` is same

`x = (K^(2))/(L//2) = (L^(2)//12)/(L//2) = (L)/(6)`
distance from one end should be lie between `(L)/(3)&(2L)/(3)`
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