Question

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

• 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

The correct option is D $2.7\times {10}^{-5}$

Given,

$\beta =37\times {10}^{9}N/m^2$

$P=10atm=10\times {10}^{5}N/m^2$

$\frac{\Delta V}{V}=?$

Bulk modulus,

$\beta =\frac{P}{\frac{\Delta V}{V}}$

$\frac{\Delta V}{V}=\frac{P}{\beta }$

$\frac{\Delta V}{V}=\frac{10\times {10}^5}{37\times {10}^9}$

$\frac{\Delta V}{V}=2.7\times {10}^{-5}$

The fractional change in its volume is $2.7\times {10}^{-5}$.

The correct option is D.