A solid sphere of radius 0.2 m is subjected to a uniform pressure of `10^(5)N//m^(2)`. If the bulk modulus of the material is `1.6xx10^(11)N//m^(2)`, then the decrease in the volume of the sphere is approximately will be

Options

A. `0.02 m^(3)`
B. `0.3 cm^(3)`
C. `0.4 cm^(3)`
D. `0.5 cm^(3)`

Answer

A

Explanation

`K=(vdp)/(dv)`
`therefore dv=(vdp)/(k) =((4pi)/(3)xx(0.2)^(3)xx10^(5))/(1.6xx10^(11))=2xx10^(-8)`
`=0.02 cm^(3)`.