Question

The pressure of a medium is changed from $1.01\times {10}^5$ Pa to $1.165\times {10}^5$ Pa and change in volume is 10% keeping temperature constant. The bulk modulus of the medium is

• A. $204.8\times {10}^5$Pa
• B. $102.4\times {10}^5$ Pa
• C. $51.2\times {10}^5$ Pa
• D. $1.55\times {10}^5$ Pa

Answer 1

The correct option is D $1.55\times {10}^5$ Pa

Here
$△P=(1.165\times {10}^5-1.01\times {10}^5)$
$=0.155\times {10}^5$ Pa
$\times V/V=10/100=1/10$
Bulk modulus $k=\frac{△p}{△v/v}$
$=\frac{0.155\times {10}^5}{\frac{1}{10}}$
$=1.55\times {10}^{5}Pa$