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

• 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 $=19.6\times {10}^{8}N/m^2$

$B=\frac{△p}{\frac{△V}{V}}=\frac{h\rho g}{\frac{0.1}{100}}=\frac{200\times {10}^3\times 9.8}{\frac{1}{1000}}$
$=19.6\times {10}^{8}N/m^2$