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Question: A ball falling in a lake of 200 m shows a decrease of 0.1% in its volume. The Bulk modulus of elasti...

A ball falling in a lake of 200 m shows a decrease of 0.1% in its volume. The Bulk modulus of elasticity of the material of the ball is - (take g =10 m/s2)

A

109 N/m2

B

2 × 109 N/m2

C

3 ×109 N/m2

D

4 × 109 N/m2

Answer

2 × 109 N/m2

Explanation

Solution

DP = hdg = 200 × 103 ×10 = 2 × 106 N/m2

K = ΔPΔV/V=2×106.1/100=2×109N/m2\frac{\Delta P}{\Delta V/V} = \frac{2 \times 10^{6}}{.1/100} = 2 \times 10^{9}N/m^{2}