First slide

Elastic behaviour of solids

Question

cube is shifted to a depth of 100 m in a lake. The change in volume is 0. 1%. The bulk modulus of the material is nearly

Moderate

A

$10 Pa$
B

$10^{4} Pa$
C

$10^{7} Pa$
D

$10^{9} Pa$

Solution

10 m column of water exerts nearly 1 atmosphere pressure. So,
100 m column of water exerts nearly 10 atmosphere pressure,
$i.e., 10 \times 10^{- 5} Pa or 10^{6} Pa .$
$Now, K = \frac{(ΔP) V}{ΔV} = \frac{10^{6} \times 100}{0 .1} Pa = 10^{9} Pa$

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