Pressure at free surface of a water lake is $P_{1}$ , while at a point at depth $h$ below its free surface is $P_{2}$ .
(a) How are $P_{1}$ and $P_{2}$ related ?
(b) Which is more $P_{1}$ or $P_{2}$ ?

Open in App

Solution

(a) $P_{2} = P_{1} + ρ g h$
where $ρ$ is the density of the liquid and $g$ is acceleration due to gravity.

(b) $P_{2} > P_{1}$

Suggest Corrections

Similar questions

Q. 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 pressure $P_{1}$ at a certain depth in river water and $P_{2}$ at the same depth in sea water are related as :
(a) $P_{1} > P_{2}$ (b) $P_{1} = P_{2}$
(c) $P_{1} < P_{2}$ (d) $P_{1} - P_{2}$ = atmospheric pressure

The pressure P1 at the top a dam and P2 at a depth h from the top inside water are related as:

In a pond, the pressure at the surface at point A is P $_{1}$ and at another point B, which is h meter below A is P $_{2}$ . Which of the following statements holds true?

The atmospheric pressure at earth surface is $P_{1}$ and inside a mine is $P_{2}$ . They are related as :
(a) $P_{1} = P_{2}$

(b) $P_{1} > P_{2}$
(c) $P_{1} < P_{2}$

(d) $P_{2} = 0$

Join BYJU'S Learning Program

Pressure at free surface of a water lake is P1, while at a point at depth h below its free surface is P2. (a) How are P1 and P2 related ? (b) Which is more P1 or P2 ?

(a) P2=P1+ρgh where ρ is the density of the liquid and g is acceleration due to gravity. (b) P2>P1

Pressure at free surface of a water lake is $P_{1}$ , while at a point at depth $h$ below its free surface is $P_{2}$ .
(a) How are $P_{1}$ and $P_{2}$ related ?
(b) Which is more $P_{1}$ or $P_{2}$ ?

(a) $P_{2} = P_{1} + ρ g h$
where $ρ$ is the density of the liquid and $g$ is acceleration due to gravity.

(b) $P_{2} > P_{1}$