Question

$1$ cc of water is taken from the surface to the bottom of a lake having depth $100m$. If bulk modulus of water is $2.2\times {10}^{9}N/m^2$ then decrease in the volume of the water will be

• A. $4.5\times {10}^{-4}cc$
• B. $8.8\times {10}^{-4}cc$
• C. $2.2\times {10}^{-4}cc$
• D. $1.1\times {10}^{-4}cc$

Answer 1

The correct option is A $4.5\times {10}^{-4}cc$

bulk modulus is given by

$E=\frac{changeinpressure}{changeinvolume}$

$\therefore$ change in volume $=\frac{changeinpressure}{initialvolume\times E}$

$=\frac{hpg}{1\times 2.2\times {10}^9}$

$=\frac{100\times 1000\times 10}{1.22\times {10}^9}$

$=4.5\times {10}^{-4}cc$

Hence,

option $\left(A\right)$ is correct answer.