Question

A spherical ball is compressed by $0.01$% when a pressure of $100$ atmosphere is applied on it. Its bulk modulus of elasticity in $dyne/c{m}^2$ will be approximately

• A. ${10}^{12}$
• B. ${10}^{14}$
• C. ${10}^6$
• D. ${10}^{24}$

Answer 1

The correct option is A ${10}^{12}$

The pressure is 100atm i.e. $100\times {10}^{5}Pa={10}^{7}N/m^2$
Now as $1N/m^2=10dyne/c{m}^2$
we get
pressure as ${10}^{8}dyne/c{m}^2$
Now as $\Delta V/V$ is given as $\frac{0.01}{100}={10}^{-4}$
Thus we get Bulk modulus as $\frac{{10}^8}{{10}^{-4}}={10}^{12}$