Question

Vessel of $1\times {10}^{-3}{m}^3$volume contains an oi. If a pressure of $1.2\times {10}^{5}N/m^2$is applied on it, thenvolume decreases by $0.3\times {10}^{-3}{m}^3$ . The bulk modulus of oil is

• A. $6\times {10}^{10}N/m^2$
• B. $4\times {10}^{5}N/m^2$
• C. $2\times {10}^{7}N/m^2$
• D. $1\times {10}^{6}N/m^2$

Answer 1

Answer: (B)

$4\times {10}^{5}N/m^2$

Bulk modulus of the oil is given by
$B=-\frac{\Delta P}{\Delta V/V}=-\frac{(1.2\times {10}^5)(1\times {10}^{-3})}{-0.3\times {10}^{-3}}=4\times {10}^{5}N/m^2$
Option B.