Question

A spherical ball contracts in volume by 0.01 % when subjected to a normal uniform pressure of 100 atm .the bulk modulus of its material is ????????///////////////

Answer 1

A spherical ball contracts in volume by $0.01\%$ when subjected to a normal uniform pressure of 100 atm. the bulk modulus of its material is

Solution

Bulk modulus of the material of the body is

$$B = \frac {P}{v / V},$$

where $P$ - a pressure is applied to spherical ball, $\frac{v}{V}$ - volume strain of spherical ball.

The bulk modulus of its material is

$$B = \frac {100 \text{ atm}}{0.0001} = \frac {100 \text{ atm}}{0.0001} = 1 \times 10^{6} \text{ atm} = 10^{6} \times 1.0 \times 10^{5} \frac{N}{m^{2}} = 10 \times 10^{10} \frac{N}{m^{2}}.$$

Answer: $10 \times 10^{10} \frac{N}{m^{2}}$.