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Thermal Expansion

A cylinder st...

Question

A cylinder stands vertical in two immiscible liquids of densities $ρ$ and $2 ρ$ . The heights of liquids are as shown.Find the difference in pressures at points A and B.

A

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B

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C

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D

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Solution

The correct option is B
$ρ_{A} = ρ g h$
$ρ_{B} = ρ g (2 h) + (2 ρ) g h$
$= 4 ρ g h$
$ρ_{B} - ρ_{A} = 3 ρ g h$

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