It is given that both liquid A and liquid B exert the same amount of pressure on their respective bases. The density of liquid A is twice the density of liquid B. The height of the column of liquid B is $10 c m$ . What would be the height of the column of liquid A?

10 c m

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

5 c m

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

20 c m

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

15 c m

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

Open in App

Solution

The correct option is B $5 c m$
A liquid column with depth $h$ , applies a pressure:
$P = ρ g h$
where:
$ρ -$ Density
$g -$ Acceleration due to gravity

Using this,
Pressure in liquid A, $P_{A} = ρ_{A} g h_{A}$
Pressure in liquid B, $P_{B} = ρ_{B} g h_{B}$

It is given that the pressures are equal.
$P_{A} = P_{B}$
$ρ_{A} g h_{A} = ρ_{B} g h_{B}$
$ρ_{A} h_{A} = ρ_{B} h_{B}$

It is given that the density of liquid A is twice the density of liquid B.
$ρ_{A} = 2 (ρ_{B})$
Substituting this, we get:
$2 ρ_{B} h_{A} = ρ_{B} h_{B}$
$2 h_{A} = h_{B}$

It is given that the height of liquid B is 10 cm.
$h_{B} = 10 c m$
So, $h_{A} = 5 c m$

Suggest Corrections

Similar questions

Q. It is given that both liquid A and liquid B exert the same amount of pressure on their respective bases. The density of liquid A is twice the density of liquid B. The height of the column of liquid B is

10 c m

. What would be the height of the column of liquid A?

Q. Liquid A and liquid B exerts the same amount of pressure and density of liquid A is twice the density of liquid B. What would be the height of the column of liquid A if the height of the column of liquid B is 10cm?

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)

Given that both liquid A and liquid B exert the same amount of pressure, what would be the height of column of liquid A if the density of liquid A is twice the density of liquid B and the height of column of liquid B is 10 cm?

Q. The pressure exerted by a water column of height

40 c m

is same as that exerted by

30 c m

column of an unknown liquid. What is the density of liquid?

Join BYJU'S Learning Program

It is given that both liquid A and liquid B exert the same amount of pressure on their respective bases. The density of liquid A is twice the density of liquid B. The height of the column of liquid B is 10 cm. What would be the height of the column of liquid A?

It is given that both liquid A and liquid B exert the same amount of pressure on their respective bases. The density of liquid A is twice the density of liquid B. The height of the column of liquid B is $10 c m$ . What would be the height of the column of liquid A?