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  • A body floats in a liquid with one fourth volume out of liquid. The same body floats in water with its one third volume out of water. Find density of liquid.Opti

A body floats in a liquid with one fourth volume out of liquid. The same body floats in water with its one third volume out of water. Find density of liquid.

Option: 1

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


Option: 2

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


Option: 3

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


Option: 4

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


Answers (1)

best_answer

Density of body,

\begin{aligned} \rho_b&=\frac{3}{4} \mathrm{P_l}\\ \rho_b&=\frac{2 \rho_\omega}{3}=\frac{2000}{3} \mathrm{~kg} / \mathrm{m}^3 \\ \end{aligned}
Density of liquid

\begin{aligned} \rho_l&=\frac{4}{3} \rho_b\\ &=\frac{4}{3} \times \frac{2000}{3}\\ \rho_l&=889 \mathrm{~kg} / \mathrm{m}^3\\ \end{aligned}
 

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Gaurav

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