Pressure at free surface of a water lake is $P_{1}$ , while pressure at a depth $h$ below its free surface is $P_{2}$ . Which of the following is/are true (Density of liquid is $ρ$ )

P_{2} = P_{1} + h ρ g

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P_{1} > P_{2}

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P_{1} = P_{2} + h ρ g

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All the above

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Solution

The correct option is A $P_{2} = P_{1} + h ρ g$
Change in pressure
$P_{2} - P_{1} = ρ g h$
since $ρ g h > 0$
hence $P_{2} - P_{1} > 0$
$\Rightarrow P_{2} > P_{1}$

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Pressure at free surface of a water lake is P1, while pressure at a depth h below its free surface is P2. Which of the following is/are true (Density of liquid is ρ)

The correct option is A P2=P1+hρgChange in pressureP2−P1=ρghsince ρgh>0hence P2−P1>0⇒P2>P1

Pressure at free surface of a water lake is $P_{1}$ , while pressure at a depth $h$ below its free surface is $P_{2}$ . Which of the following is/are true (Density of liquid is $ρ$ )

The correct option is A $P_{2} = P_{1} + h ρ g$
Change in pressure
$P_{2} - P_{1} = ρ g h$
since $ρ g h > 0$
hence $P_{2} - P_{1} > 0$
$\Rightarrow P_{2} > P_{1}$