Question

$A$ glass slab is subjected to a pressure of $10 \,atm$. The fractional change in its volume is
(Bulk modulus of glass =$37\times10^{9} N$ $m^{-2}$, $1 \, atm =1\times10^{5} N$ $m^{-2})$

• A. $2.7\times10^{-2}$
• B. $2.7\times10^{-3}$
• C. $2.7\times10^{-4}$
• D. $2.7\times10^{-5}$

Answer 1

Answer: (D)

Bulk modulus, $B$=$\frac{P}{\Delta V /V}$
$\therefore \quad$ Fractional change in volume, $\frac{\Delta V}{V}$=$\frac{P}{B}$
Here, $p=10\, atm$ $=10\times1\times10^{5} N $ $m^{-2}$
$B=37\times10^{9}N$ $m^{-2}$
$\therefore \quad$ $\frac{\Delta V}{V}$ $=\frac{1\times10^{6}N m^{-2}}{37\times10^{9}N m^{-2}}$ $=0.027\times10^{-3}$ $=2.7\times10^{-5}$