Question

A spherical ball contracts in volume by $0.01\%$ when subjected to a normal uniform pressure of $100$ atmospheres. The bulk modulus of its material in dynes$/c{m}^2$ is?

• A. $10\times {10}^{12}$
• B. $100\times {10}^{12}$
• C. $1\times {10}^{12}$
• D. $2\times 10$

Answer 1

The correct option is C $1\times {10}^{12}$

Here,

$\frac{DeltaV}{V}=\frac{-0.01}{100}$

$P=100atm=100\times {10}^{5}atm$

$\beta =\frac{-100\times V}{\Delta V}$

$=100\times {10}^5\times {10}^4=10\times {10}^{1}0N/m^2$

In $dynes/c{m}^2$ multiply it by 10,

$={10}^{12}dynes/c{m}^2$