Question

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

• 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. $19.6\times {10}^{-8}N/m^2$

Answer 1

The correct option is A $19.6\times {10}^{8}N/m^2$

$B=\frac{P}{\frac{\Delta V}{V}}$

$P=h\rho g=200\times {10}^3\times 9.8=19.6\times {10}^5$

$B=\frac{19.6\times {10}^5}{\frac{0.1}{100}}=19.6\times {10}^{8}N/m^2$