A container shown in figure contains a liquid to a depth H- and of density - The gauge pressure at point P is

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Standard X

History

Course of The First World War - Eastern War Front

A container s...

Question

A container shown in figure contains a liquid to a depth $H$ , and of density $ρ$ . The gauge pressure at point $P$ is

\frac{ρ g H}{2 + P_{0}}

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\frac{ρ g H}{2}

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\frac{ρ g H}{2 cos θ}

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\frac{ρ g H cos θ}{2}

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Solution

The correct option is B $\frac{ρ g H}{2}$
Formula used: $P_{g a u g e} = P_{t o t a l} - P_{a t m,} P = ρ g h$
Given : $h = \frac{H}{2}$
From the diagram we can see that depth of point $P$ is $\frac{H}{2}$
Gauge pressure will be equal to $P_{g a u g e} = (P_{a t m} + ρ g h) - P_{a t m} = ρ g h$
$h = \frac{H}{2}$
Gauge pressure is $\frac{H ρ g}{2}$
FINAL ANSWER: (b)

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Course of The First World War - Eastern War Front

Standard X History

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A container shown in figure contains a liquid to a depth H, and of density ρ. The gauge pressure at point P is

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