Question

A copper solid cube of $60mm$ side is subjected to a compressible pressure of 2.5 x 10${}^7$ Pa. If the bulk modulus of copper is 1.25 x 10${}^{11}$ pascals, the change in the volume of cube is

• A. $-43.2mm$${}^3$
• B. $-43.2m$${}^3$
• C. $-43.2c{m}^3$
• D. $-432m{m}^3$

Answer 1

The correct option is A $-43.2mm$${}^3$

$B=\frac{P}{\Delta v/v}$
$\Delta v=\frac{pv}{B}$
$=\frac{2.5\times {10}^7\times (60{)}^3}{1.25\times {10}^{11}}$
$=43.2m{m}^3$
So, $\Delta v=43.2m{m}^3$ and it is negative since volume decreases.