A spherical ball contracts in volume by `0.02%` when subjected to a pressure of 100 atmosphere. Assuming one atmosphere is `10^(5)N//m^(2)`, the bulk modulus of the material of ball is

Options

A. `0.02xx10^(5)N//m^(2)`
B. `0.02 xx 10^(7) N//m^(2)`
C. `50xx10^(7)N//m^(2)`
D. `50xx10^(9)N//m^(2)`

Answer

D

Explanation

`K=(vdp)/(dv)=(dp)/((dv)/(v))=(100xx10^(5))/(2xx10^(-4))`
`=50xx10^(9)N//m^(2).`