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Question: Bulk modulus of water is 2 × 10<sup>9</sup> Nm<sup>–2</sup>. The change in pressure required to incr...

Bulk modulus of water is 2 × 109 Nm–2. The change in pressure required to increase the density of water by 0.1% is –

A

2 × 109 Nm–2

B

2 × 108 Nm–2

C

2 × 106 Nm–2

D

2 × 104 Nm–2

Answer

2 × 106 Nm–2

Explanation

Solution

The density would increase by 0.1% if the volume decrease by 0.1%,

K = ΔPΔVV\frac{\Delta P}{\frac{\Delta V}{V}}

̃ DP = KΔVVK\frac{\Delta V}{V}= 2 × 109 × 0.1100\frac{0.1}{100} = 2 × 106 Nm–2