In a U-tube- if different liquids are filled then we can say that pressure at same level of same liquid is same- In a U-tube 20 cm of a liquid of density - is on left hand side and 10 cm of another liquid of density 1-5 - is on right hand side- In between them there is a third liquid of density 2- What the value of h -

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Standard VIII

Physics

Floating and Sinking

In a U-tube, ...

Question

In a U-tube, if different liquids are filled then we can say that pressure at same level of same liquid is same. In a U-tube 20 cm of a liquid of density $ρ$ is on left hand side and 10 cm of another liquid of density 1.5 $ρ$ is on right hand side. In between them there is a third liquid of density $2 ρ$ . What the value of $h$ ?

5 c m

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2.5 c m

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2 c m

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7.5 c m

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Solution

The correct option is B $2.5 c m$
Applying Pascal's Law for an incompressible fluid, the pressure on 1 horizontal plane should be the same.

Therefore, the pressure at the point 20 cm on 1 side and 10+h cm on the other side would be the same.

$P_{o} + ρ g (20) = P_{o} + 1.5 ρ g (10) + 2 ρ g h$

$20 = 15 + 2 h$

Therefore, $h = 2.5 c m$

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The correct option is B 2.5cmApplying Pascal's Law for an incompressible fluid, the pressure on 1 horizontal plane should be the same.Therefore, the pressure at the point 20 cm on 1 side and 10+h cm on the other side would be the same.Po+ρg(20)=Po+1.5ρg(10)+2ρgh20=15+2hTherefore, h=2.5cm