The volume change of a solid copper cube 10 cm on an edge, when subjected to a pressure of 7 MPa is
(Bulk modulus of copper 140 GPa)

Options

A. `5xx10^(-2) cm^(3)`
B. `10xx10^(-2) cm^(3)`
C. `15 xx 10^(-2) cm^(3)`
D. `8xx 10^(-1)cm^(3)`

Answer

D

Explanation

Here, L =20 cm `= 20 xx 10^(-2) m`
`P =14 Mpa = 14 xx 10^(6) Pa`
`B = 140 Gpa = 140 xx 10^(9) Pa`
As `B = (P)/(DeltaV//V)`
`therefore DeltaV = (PV)/(B) = (PL^(3))/(B) = ((14 xx 10^(6) Pa) (20xx10^(-2) m)^(3))/(140 xx 10^(9)Pa)`
`= 2 xx 10^(-8) m^(3) = 2xx10^(-2) cm^(3)`