The bulk modulus of a spherical object is `B` if it is subjected to uniform pressure `p`, the fractional decrease in radius is:

Options

A. `(B)/(3p)`
B. `(3p)/(B)`
C. `(p)/(3B)`
D. `(p)/(B)`

Explanation

`B = - (Delta P)/(Delta V//V)`
`(Delta V)/(V) = -(P)/(B)`
`V = (4)/(2) pi R^(3)`
`(Delta V)/(V) = 3 (Delta R)/(R )`
`(Delta R)/(R ) = - (p)/(3B)`