Q. The average depth of Indian ocean is about 3000 m. The fractional compression, $\frac{\mathrm{\Delta}V}{V\ }$ of water at the bottom of the ocean ( given that the bulk modulus of the water =2.2$\times 10^{9}\ {Nm}^{- 2\ \ }and\ g = 10\ {ms}^{- 2})\ \ is\ $

A) 0.82%
B) 0.91%
C) 1.36%
D) 1.24%
Explanation

(c) $B = \frac{P}{\mathrm{\Delta}V/V}$
$\frac{\mathrm{\Delta}V}{V} = \frac{P}{B}$
$= \frac{\rho gh}{B} = 1.36\%$

Dr. Abubacker
Reviewed by Dr. Abubacker

Physics Educator & NEET/JEE Specialist

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