A metallic sphere weighing 3 ,kg in air is held by a string so as to be completely immersed in a liq

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9-1.Fluid Mechanics

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A metallic sphere weighing $3 \,kg$ in air is held by a string so as to be completely immersed in a liquid of relative density $0.8$. The relative density of metallic is $10$. The tension in the string is ........ $N$

A

$18.7$

B

$42.5$

C

$32.7$

D

$27.6$

Solution

(d)

$T=M g-$ Buoyant Force

$\Rightarrow T=\rho_M V g-\rho_L V g \quad\left(\rho_M=\frac{M}{V}\right)$

$=\left(\rho_M-\rho_L\right) V g$

$=(10-0.8) \times \frac{3}{10} \times 10$

$\Rightarrow T=9.2 \times 3=27.6 \,N$

Standard 11

Physics

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