Physics Elasticity Question 22

Question: A ball falling in a lake of depth 200 m shows 0.1% decrease in its volume at the bottom. What is the bulk modulus of the material of the ball

[AFMC 1997]

Options:

A) $ 19.6\times 10^{8},N/m^{2} $

B) $ 19.6\times {{10}^{-10}},N/m^{2} $

C) $ 19.6\times 10^{10},N/m^{2} $

D) $ 19.6\times {{10}^{-8}},N/m^{2} $

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Answer:

Correct Answer: A

Solution:

$ B=\frac{\Delta p}{\Delta V/V}=\frac{h\rho g}{0.1/100}=\frac{200\times 10^{3}\times 9.8}{1/1000} $

$ =19.6\times 10^{8}N/m^{2} $