A cube is subjected to pressure of `5 xx 10^(5)N//m^(2)`. Each side of the cube is shortened by 1%. Find volumetric strain and bulk modulus of elasticity of cube.

Options

A. `-10xx10^(-3)m^(3)`
B. `-20xx10^(-3)m^(3)`
C. `-30xx10^(-3)m^(3)`
D. `-40xx10^(-4)m^(3)`

Answer

A

Explanation

`K= -v(dp)/(dv)`
`dv=(-vdp)/(k)`
`=(-4^(3)xx20 xx10^(6))/(125xx10^(9))=(-64xx20)/(125)xx10^(-3)`
`=-10xx10^(-3)m^(3).`