First slide

Elastic Modulie

Question

When a pressure of 100 atm 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

Moderate

A

$10 \times 10^{12}$
B

$100 \times 10^{12}$
C

$1 \times 10^{12}$
D

$20 \times 10^{12}$

Solution

$∵$ Bulk modulus of the material of the rubber,
$| B | = \frac{ΔP}{ΔV / V} = \frac{100}{0.01 / 100} = 10^{6} atm = 10^{11} {Nm}^{- 2}$
$= 10^{12} {dyne cm}^{2}$

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