Physics Elasticity Question 18

Question: If a rubber ball is taken at the depth of 200 m in a pool, its volume decreases by 0.1%. If the density of the water is $ 1\times 10^{3},kg/m^{3} $ and $ g=10,m/s^{2} $ , then the volume elasticity in $ N/m^{2} $ will be

[MP PMT 1991]

Options:

A) $ 10^{8} $

B) $ 2\times 10^{8} $

C) $ 10^{9} $

D) $ 2\times 10^{9} $

Show Answer

Answer:

Correct Answer: D

Solution:

$ K=\frac{\Delta P}{\Delta V/V}=\frac{h\rho g}{\Delta V/V}=\frac{200\times 10^{3}\times 10}{0.1/100}=2\times 10^{9} $