Question

A spherical ball contracts in volume by $0.01 \%$ when subjected to a 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 $cm ^{-2}$.

• A. $10^{9}$ dyne $cm ^{-2}$
• B. $10^{10}$ dyne $cm ^{-2}$
• C. $10^{12}$ dyne $cm ^{-2}$
• D. $10^{14}$ dyne $cm ^{-2}$

Answer 1

Answer: (C)

$B=\frac{\Delta P}{-(\Delta V / V)}=\frac{100 \times 10^{6} \text { dyne } cm ^{-2}}{(0.01 \%)}$
$=10^{12}$ dyne $cm ^{-2}$