Question

On taking a solid rubber ball from the surface to the bottom of a lake 200m deep, the reduction in volume is found to be 0.5%. If the density of water is 10${}^3$ kgm${}^{-3}$ and g$=$10 ms${}^{-2}$, find the bulk modulus of rubber.

• A. 2 x10${}^8$Pa
• B. 4 x10${}^8$Pa
• C. 6 x10${}^8$Pa
• D. 8 x10${}^8$Pa

Answer 1

Answer: (B)

4 x10${}^8$Pa

$B=\frac{\rho g\Delta h}{\Delta v/v}$
$=\frac{1000\times 10\times 200}{0.5/100}$
$=4\times {10}^{8}pa$