Question

A spherical ball contracts in volume by 0.01%when subjected to a uniform pressure of 2 atmospheres. what is the bulk modulus of the material?

Answer 1

Given:
⇒ Pressure, P = 2 atm= 2.02650 × 10^5 Pa
⇒ Original volume of the spherical ball = V
⇒ Change in Volume of the spherical ball, ΔV = 0.01% = V × 1/100
                                                                                           = v/100

To find:
⇒ Bulk's modulus, B = ?

Solution: 
⇒ Bulk Modulus = Volumetric stress/ Volumetric Strain
⇒ B = -(F/A)/ (ΔV/V)
⇒ We know that, Pressure, P = Force(F)/ Area(A)
⇒ B = -2.02650 × 10^5 × V × 100/ V
⇒ ∴B = -2.02650 × 10^7 Pa = -200 atm

⇒ Here, value of B is negative because the object on being subjected to the pressure, contracts. Thus resulting in decreasing of volume.

:)

Answer 2

See the attachement.......

Khushi here✔️