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  • What is the approximate change in density of water in a lake at a depth of 400 m below the surface? The density of water at the surface is <img alt="1030\, kg / m^3" src="https://entrancecorner.onc

What is the approximate change in density of water in a lake at a depth of 400 m below the surface? The density of water at the surface is 1030\, kg / m^3and Bulk modulus of water is 2\times 10^9 \, N/m^2 .

Option: 1

4 \mathrm{~kg} / \mathrm{m}^3


Option: 2

2 \mathrm{~kg} / \mathrm{m}^3


Option: 3

6 \mathrm{~kg} / \mathrm{m}^3


Option: 4

8 \mathrm{~kg} / \mathrm{m}^3


Answers (1)

best_answer

\begin{aligned} & d \rho=\frac{\rho}{B}-d \rho \\ & d \rho=\rho g h=1030 \times 10 \times 400 \\ & =4.12 \times 10^6 \mathrm{~N} / \mathrm{m}^2 \\ & \therefore d \rho=\frac{1030}{2 \times 10^9} \times 4.12 \times 10^6 \\ & d \rho=2.12 \mathrm{~kg} / \mathrm{m}^3 \\ & d \rho=2 \mathrm{~kg} / \mathrm{m}^3\\ & \end{aligned}

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Ritika Kankaria

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