Question

$A$ glass slab is subjected to a pressure of $10atm$. The fractional change in its volume is
(Bulk modulus of glass =$37\times 10^{9}N$ $m^{-2}$, $1atm=1\times 10^{5}N$ $m^{-2})$

• A. $2.7\times 10^{-2}$
• B. $2.7\times 10^{-3}$
• C. $2.7\times 10^{-4}$
• D. $2.7\times 10^{-5}$

Answer 1

Answer: (D)

Bulk modulus, $B$=$\frac{P}{\Delta V/V}$
$\therefore$ Fractional change in volume, $\frac{\Delta V}{V}$=$\frac{P}{B}$
Here, $p=10atm$ $=10\times 1\times 10^{5}N$ $m^{-2}$
$B=37\times 10^{9}N$ $m^{-2}$
$\therefore$ $\frac{\Delta V}{V}$ $=\frac{1\times 10^{6}N{m}^{-2}}{37\times 10^{9}N{m}^{-2}}$ $=0.027\times 10^{-3}$ $=2.7\times 10^{-5}$