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Pendulum A is a physical pendulum made f...

Pendulum `A` is a physical pendulum made from a thin, rigid and uniform rod whose length is `d`. One end of this rod is attached to the ceiling by a frictionless hinge, so that the rod is free to swing back and forth. Pendulum `B` is a simple pendulum whose length is also `d`. Obtain the ratio `(T_(A))/(T_(B))` of their periods for small angle oscillations.

A

`sqrt((3)/(2))`

B

`sqrt((2)/(3))`

C

`(2)/(3)`

D

`3/2`

Text Solution

Verified by Experts

The correct Answer is:
B
`T_(A) = 2pisqrt((I)/(mgl)) = 2pisqrt((mgl^(2)//3)/(mgl//2)) = 2pisqrt((2l)/(3g))` & `T_(B) = 2pisqrt((l)/(g)) rArr (T_(A))/(T_(B)) = sqrt((2)/(3)`
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