A copper solid cube of 60 mm side is subjected to a pressure of `2.5 xx 10^7` Pa. If the bulk modulus of copper is `1.25 xx10^11 N m^-2`, the change in the volume of cube is

Options

A. `-43.2m^(3)`
B. `-43.2mm^(3)`
C. `-43cm^(3)`
D. `-432 mm^(3)`

Answer

B

Explanation

Initial volume , `V_(i) = 60^(3) = 216xx10^(3) = 2.16xx10^(5) mm^(3)`
Bulk modulus, `K=(-PV)/(DeltaV)`
`therefore DeltaV = (-PV)/k = (-2.5xx10^(7)xx2.16xx10^(5))/(1.25xx10^(11))`
`=-4.32 xx 10=-43.2mm^(3)`