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An object of mass m is suspended at the ...

An object of mass m is suspended at the end of a massless wire of length L and area of cross -section A. Young modulus of the material of the wire is Y. If the mass is pulled down slightly its frequency of oscillation along the vertical direction is :

A

`f= (1)/(2pi ) sqrt((mL)/(YA))`

B

`f= (1)/(2pi ) sqrt((YA)/(mL))`

C

`f= (1)/(2pi ) sqrt((mA)/(YL))`

D

`f= (1)/(2pi) sqrt((YL)/(mA))`

Text Solution

Verified by Experts

The correct Answer is:
B
An elastic wire can be treated as a spring with `k= (YA)/(l)`
`T= 2pi sqrt((m)/(k))`
`f= (1)/(2pi) sqrt((k)/(m)) = (1)/(2pi) sqrt((YA)/(ml))`
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