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

Options

A. `(Gm^(2))/(3BpiR^(3))`
B. `(Gm^(2))/(8BpiR^(3))`
C. `(Gm^(2))/(24BpiR^(3))`
D. `(Gm^(2))/(36BpiR^(3))`

Answer

C

Explanation

`/_\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))`