A container is filled with liquid up to $20 c m$ . The pressure at the bottom of the liquid column is $10 P a$ . Find the density of the liquid.

GIven: Acceleration due to gravity, g = $10 m / s^{2}$ .

$0.5 k g / m^{3}$

No worries! We‘ve got your back. Try BYJU‘S free classes today!

$2 k g / m^{3}$

No worries! We‘ve got your back. Try BYJU‘S free classes today!

$5 k g / m^{3}$

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

$1 k g / m^{3}$

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is C
$5 k g / m^{3}$

Given,
Pressure at bottom $P$ = $10 P a$
Height of liquid column $h$ = $20 c m$ = $0.2 m$
Let, density of liquid = $ρ$

We know $P$ = $ρ g h$
$10 P a = ρ \times 10 m / s^{2} \times 0.2 m$
$ρ$ = $5 k g / m^{3}$

So, density of the liquid = $5 k g / m^{3}$ .

Suggest Corrections

Similar questions

A container is filled with liquid up to $20 c m$ . The pressure at the bottom of the liquid column is $10 P a$ . Find the density of the liquid.

GIven: Acceleration due to gravity, g = $10 m / s^{2}$ .

A pressure exerted by a liquid at a depth of $5 m$ is $80 P a$ . Find the density of the liquid. Take acceleration due to gravity as $10 m / s^{2}$

Q. Pressure (P) exented by liquid on walls of the container when h = height of the liquid column, f = density, g is acceleration due to gravity

It is given that both liquid A and liquid B exert the same amount of pressure. The density of liquid A is twice the density of liquid B. The height of the column of liquid B is 10 cm. Then what would be the height of the column of liquid A?(Use the formula for Pressure(P) as P = $ρ g h$ ; $^{'} ρ^{'}$ is the density of the liquid, 'g' -acceleration due to gravity, 'h'- height of the liquid column)

Q. The expression for the pressure at a point inside a liquid (Given liquid density

= ρ

, height of liquid column

h

and acceleration due to gravity

= g

Join BYJU'S Learning Program

A container is filled with liquid up to 20 cm. The pressure at the bottom of the liquid column is 10 Pa. Find the density of the liquid. GIven: Acceleration due to gravity, g = 10 m/s2.

The correct option is C 5 kg/m3 Given, Pressure at bottom P = 10 Pa Height of liquid column h = 20 cm = 0.2 m Let, density of liquid = ρ We know P = ρgh 10 Pa = ρ×10 m/s2×0.2 m ρ = 5 kg/m3 So, density of the liquid = 5 kg/m3.

A container is filled with liquid up to $20 c m$ . The pressure at the bottom of the liquid column is $10 P a$ . Find the density of the liquid.

GIven: Acceleration due to gravity, g = $10 m / s^{2}$ .