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A metallic spherical shell has mas m, ra...

A metallic spherical shell has mas `m`, radius `R` and Bulk modulus of elasticity `B`. The change in radius of the shell due to gravitational pressure

A

`(Gm^(2))/(3BpiR^(3))`

B

`(Gm^(2))/(8BpiR^(3))`

C

`(Gm^(2))/(24BpiR^(3))`

D

`(Gm^(2))/(36BpiR^(3))`

Text Solution

Verified by Experts

The correct Answer is:
C
`/_\P=(Gm^(2))/(8piR^(4))`
`B=-(/_\P)/(/_\V//V)`
`B.(3dR)/R=(Gm^(2))/(8piR^(4))`
`dR=(Gm^(2))/(24BpiR^(3))`
`dR=(Gm^(2))/(24BpiR^(2))`
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