Question

A ball falling in a lake to a depth 200 m shows a decrease of 0.1% in its volume at the bottom. The bulk modulus of the ball is

• 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 $19.6\times {10}^{8}N/m^2$

Density of water $d=1000kg/m^3$

Depth of lake $h=200m$

Decrease in volume $=0.1\%$

$B=V\times P/dv={10}^3\times 9.8\times \frac{200}{{10}^{-3}}B=19.6\times {10}^{8}N/m^2$