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

Answer

D

Explanation

Bulk modulus, `B=(P)/((Delta V//V))` or `(Delta V)/(V) =(P)/(B)`
`V=(4)/(3)pi r^(3)` , `(Delta V)/(V)=(3Delta r)/(r)`
`:. (3Delta r)/(r)=(P)/(B)` or `(Delta r)/(r)=(P)/(3B)`