Q. A spherical ball contract in volume by 0.01% when subjected to normal uniform pressure of 100 atmosphere. What is the bulk modulus of elasticity of the material of the ball ? ( Take 1 atmosphere = $10^{6}\ dyne\ cm^{- 3})$
A) $10^{9}\ dyne\ cm^{- 2}$
B) $10^{10}\ dyne\ cm^{- 2}$
C) $10^{12}\ dyne\ cm^{- 2}$
D) $10^{14}\ dyne\ cm^{- 2}$
Explanation
(c) $\mathrm{\Delta}p = 100\ atm = 100\ \times 10^{6}\ dyne\ cm^{2}$
= $10^{8}\ dyne\ \ cm^{- 2}\ $
$\frac{\mathrm{\Delta}V}{V} = \frac{0.01}{100} = 10^{- 4}\ $
$K = \frac{10^{8}}{10^{- 4}}\ dyne\ cm^{- 2} = 10^{12}\ dyne\ cm^{- 2}$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.