A solid copper cube of 7 cm edge is subjected to a hydraulic pressure of 800 kPa. The volume contraction of the copper cube is (Bulk modulus of copper =140 Gpa)

Options

A. `196 times 10^-3 cm^3`
B. `19.6 times 10^-6 cm^3`
C. `19.6 times 10^-3 cm^3`
D. `196 times 10^3 cm^3`

Explanation

Given,
edge of solid copper cube, I=7 cm
hydraulic pressure ,`p=8000 kPa=8000 times 10^3 Pa` ,
and Bulk modulus of copper, `beta=140 Gpa`
`=140 times 10^9 Pa`
As we know that
Bulk modulus , `beta=p/(((DeltaV)/V)) or beta=(pV)/(Delta V)`
`therefore Delta V=(pV)/B=(8000 times10^3 times(l)^3)/(140 times10^9)`
`=(8000 times10^3 times(7)^3)/(140 times10^9)=19.6 times 10^-3 cm^3`