Question

When a body having a volume of 10^-3 m^3 is pressed by a pressure of 4 x 10^4 Nm^-2
its volume decreases by 0.2 x 10^-6 m^3. Calculate the bulk modulus of the body.​

Answer 1

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I hope it's help ful

Answer 2

The bulk modulus of the body is 2 x 10^8 Nm^-2

Given:

Pressure on the body = 4 x 10^4 Nm^-2

Volume of body = 10^-3 m^3

Change in Volume = 0.2 x 10^-6 m^3

To find:

Bulk modulus, B

Solution:

$b = p \div ( \frac{Δv}{v} )$

= 4 x 10^4/ (0.2 x 10^-6/10^-3)

= 4 x 10^4 x 10^-3/ 0.2 x 10^-6

= 4 x 10^7/0.2

= 2 x 10^8

Hence, the bulk modulus of the object is 2 x 10^8 Nm^-2

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