Question

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

• A. 19.6 x 10${}^8$ N/m${}^2$
• B. 19.6 x 10${}^{-10}$ N/m${}^2$
• C. 19.6 x 10${}^{10}$ N/m${}^2$
• D. 19.6 x 10${}^{-8}$ N/m${}^2$

Answer 1

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

$B=\frac{\rho gh}{\Delta v/v}$ (standard result)
$=\frac{1000\times 200\times 9.8}{\frac{0.1}{100}}$
$=19.6\times {10}^{8}N/m^2$