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Standard XII

Physics

Pressure

A vessel has ...

Question

A vessel has cross-section area $A_{2}$ for height 2h and area $A_{1}$ for height $h$ . It is filled with liquid of density $ρ$ . Neglect the atmospheric pressure.

pressure at

A = ρ g 3 h

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pressure at

B = ρ g 3 h

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pressure at

A = ρ g 2 h

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force exerted by liquid at the bottom of container = weight of the liquid.

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Solution

The correct options are
A pressure at $A = ρ g 3 h$
C pressure at $B = ρ g 3 h$
Pressure at points A and B are equal.
Using the formula for Pressure, $P = ρ g h$
$P_{A} = P_{B} = ρ g (3 h)$ since the height is 3h.
The force at the bottom of the container is $F = P_{A} A_{2}$
Since $A_{2} > A_{1}$ , $F > (A_{1} \times h + A_{2} \times 2 h) ρ g$ where $(A_{1} \times h + A_{2} \times 2 h) ρ g$ is the weight of the liquid.

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A vessel has cross-section area A2 for height 2h and area A1 for height h. It is filled with liquid of density ρ. Neglect the atmospheric pressure.

A vessel has cross-section area $A_{2}$ for height 2h and area $A_{1}$ for height $h$ . It is filled with liquid of density $ρ$ . Neglect the atmospheric pressure.