If a given liquid is stored first in container-1 upto height h and then in container-2 upto height h2- then find the ratio of P1 and P2- where P- and P2 are the pressures exerted by it at the bottom of the container-1 and container-2-

We know that P=h ρ g Where h= height of liquid column ρ nbsp;=density of liquid g=acceleration due to gravity Pressure inside the liquid does not depend on th ...

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Byju's Answer

Standard VIII

Physics

Pressure in Fluids

If a given li...

Question

If a given liquid is stored first in container-1 upto height h and then in container-2 upto height $\frac{h}{2}$ , then find the ratio of $P_{1}$ and $P_{2}$ . (where P, and $P_{2}$ are the pressures exerted by it at the bottom of the container-1 and container-2).

1 : 2

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Solution

The correct option is B 2 : 1
We know that $P = h ρ g$
Where h= height of liquid column
$ρ$ =density of liquid
g=acceleration due to gravity
Pressure inside the liquid does not depend on the shape of the container.
Pressure in container 1
$P_{1} = d g h$
Pressure in container 2
$P_{2} = \frac{d g h}{2}$
Thus ratio of $P_{1}$ and $P_{2} = \frac{P_{1}}{P_{2}} = \frac{d g h_{1}}{\frac{d g h}{2}} = \frac{2}{1}$

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If a given liquid is stored first in container-1 upto height h and then in container-2 upto height h2, then find the ratio of P1 and P2. (where P, and P2 are the pressures exerted by it at the bottom of the container-1 and container-2).

If a given liquid is stored first in container-1 upto height h and then in container-2 upto height $\frac{h}{2}$ , then find the ratio of $P_{1}$ and $P_{2}$ . (where P, and $P_{2}$ are the pressures exerted by it at the bottom of the container-1 and container-2).