First slide

Elastic Modulie

Question

The bulk modulus of rubber is 9 x 10⁸ N/m². To what depth below the surface of sea should the rubber ball be taken as to decrease its volume by 0.1%?

Moderate

A

1m
B

10m
C

100m
D

1 KM

Solution

$\begin{array}{l} ΔP = B (\frac{V}{V}) Here (\frac{V}{V}) = \frac{0 \cdot 1}{100} \\ ∴ ΔP = 9 \times 10^{5} \end{array}$
Atmospheric pressure at sea level =10 m of water column.
Let the ball is taken to a depth h. Then
$\begin{array}{l} ΔP = (h - 10) ρg \\ 9 \times 10^{5} = (h - 10) (1000) \\ ∴ h = 100 m \end{array}$

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