Q. If a rubber ball is taken at the depth of $200\ m$ in a pool, its volume decreases by 0.1%. If the density of the water is $1 \times 10^{3}kg/m^{3}$ and $g = 10\ m/s^{2}$, then the volume elasticity in $N/m^{2}$ will be

A) $10^{8}$
B) $2 \times 10^{8}$
C) $10^{9}$
D) $2 \times 10^{9}$
Explanation

(d) $K = \frac{\mathrm{\Delta}P}{\mathrm{\Delta}V/V} = \frac{h\rho g}{\mathrm{\Delta}V/V} = \frac{200 \times 10^{3} \times 10}{0.1/100} = 2 \times 10^{9}$

Dr. Abubacker
Reviewed by Dr. Abubacker

Physics Educator & NEET/JEE Specialist

Ph.D. in Physics with 19+ years of teaching experience.