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

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 (A) 1000 × 1012 (B) 100 × 1012 (C) 1 × 1012 (D) 10 × 1012

Tardigrade Admin · Accepted Answer

K=(100/0.01/100)=106 atm =1011 N / m 2=1012 dyne / cm 2

Q. 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 $d y n e / c m^{2}$ is

$1000 \times 1 0^{12}$

$100 \times 1 0^{12}$

$1 \times 1 0^{12}$

$10 \times 1 0^{12}$

$K = \frac{100}{0.01/100} = 1 0^{6}$ atm
$= 1 0^{11} N / m^{2} = 1 0^{12}$ dyne $/ c m^{2}$

Q. 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

1000×1012

100×1012

1×1012

10×1012