Question

Volume of a liquid when compressed by additional pressure of ${10}^{5}N/m^2$ is $196$cc and when compressed by a pressure of $1.5\times {10}^{5}N/m^2$, the volume is $194cc$. The bulk modulus of the liquid is:

• A. ${10}^{5}N/m^2$
• B. $1.5\times {10}^6$
• C. $5\times {10}^{5}N/m^2$
• D. $5\times {10}^{6}N/m^2$

Answer 1

The correct option is B $1.5\times {10}^6$

Bulk modulus is the ratio of the infinitesimal increase of pressure to the relative decrease in volume.

When calculating the pressure changes and volume changes we get the ratio as 1.5 × ${10}^6$ .

So the correct answer is ' 1.5 × ${10}^6$ '.