First slide

Elastic Modulie

Question

Bulk modulus of water is 2 x 10⁹ N/m² . Change in pressure required to increase density of water by 0.1 % is:

Easy

A

2 x 10⁹ N/m²
B

2 x 10⁸ N/m²
C

2 x 10⁶ N/m²
D

2 x 10⁴ N/m²

Solution

$B = \frac{∆ P}{\frac{- ∆ V}{V}} = \frac{∆ p}{\frac{∆ ρ}{ρ}} \Rightarrow ∆ P = 2 \times 10^{9} \times \frac{0.1}{100} = 2 \times 10^{6} N / m^{2} .$

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