The pressure at the top of a well water is P1- and at the depth of h from the top is P2- Given the density of water is - Which of the following relation is correct- A- P 1- P 2B- P 1- P 2- h - gC- P 2- P 1- h - gD- P 1- P 2

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Question

The pressure at the top of a well water is $P_{1}$ , and at the depth of $h$ from the top is $P_{2}$ . Given the density of water is $ρ$ . Which of the following relation is correct?

$P_{1} > P_{2}$

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$P_{1} = P_{2}$

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$P_{1} - P_{2} = h ρ g$

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$P_{2} - P_{1} = h ρ g$

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Solution

The correct option is D
$P_{2} - P_{1} = h ρ g$

Given, the pressure on top of the well water is $P_{1}$ .
For depth $h$ and density of water $ρ$ , the pressure under the water is given by $P_{2}$ .

Pressure at depth $h$ is given by:
$P_{2} = P_{1} + h ρ g$
$⟹ P_{2} - P_{1} = h ρ g$

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The pressure at the top of a well water is P1, and at the depth of h from the top is P2. Given the density of water is ρ. Which of the following relation is correct?

The correct option is D P2−P1=hρg Given, the pressure on top of the well water is P1. For depth h and density of water ρ, the pressure under the water is given by P2. Pressure at depth h is given by: P2=P1+hρg ⟹P2−P1=hρg

The pressure at the top of a well water is $P_{1}$ , and at the depth of $h$ from the top is $P_{2}$ . Given the density of water is $ρ$ . Which of the following relation is correct?

The correct option is D
$P_{2} - P_{1} = h ρ g$

Given, the pressure on top of the well water is $P_{1}$ .
For depth $h$ and density of water $ρ$ , the pressure under the water is given by $P_{2}$ .

Pressure at depth $h$ is given by:
$P_{2} = P_{1} + h ρ g$
$⟹ P_{2} - P_{1} = h ρ g$