Question

When a pressure of 100 atmosphere is applied on a spherical ball, then its volume reduces to 0.01%. The bulk modulus of the material of the rubber in dyne/cm2 is

Answer 1

1 atm = 10∧5Nm2   ∴100atm=10∧7Nm2 and ΔV=0.01%V    ∴ΔV÷V=0.0001

K=P÷ΔV÷V

=10∧7÷0.0001

=1×10∧11N/m∧2

=1×10∧12Dyne/cm∧2.

(1N/m∧2=10dyne/cm∧2) .

Answer 2

Dear Student,

● Explanation -

Bulk modulus = 10^12 dyne/cm^2

◆ Explanation -

# Given -

P = 100 atm

∆V/V = 0.01 % = 0.01/100 = 10^-4

# Solution -

Bulk modulus of the rubber is calculated by formula -

Bulk modulus = stress / strain

K = P / (∆V/V)

K = 100 / 10^-4

K = 10^6 atm

In dyne/cm^2,

K = 10^6 × 10^6 dyne/cm^2

K = 10^12 dyne/cm^2

The bulk modulus of the material of the rubber in 10^12 dyne/cm^2.

Thanks dear. Hope this helps you...