You visited us 1 times! Enjoying our articles? Unlock Full Access!

Byju's Answer

Standard VIII

Physics

Floating and Sinking

A uniform sol...

Question

A uniform solid cylinder of density $0.8 g m / c m^{2}$ floats in equilibrium in a combination of two immiscible liquids A and B with its axis vertical.The densities of the liquids A and B are $0.4 g m / c m^{3}$ and $0.7 g m / c m^{3}$ , respectively. The height of liquid A is $h_{A} = 1.2 c m$ .The length of the part of the cylinder immersed in liquid B is $h_{B} = 0.8 c m$
Find the total force exerted by liquid A on the cylinder.

Open in App

Solution

Since the force applied by liquid $A$ is perpendicular to the axis and radially symmetrical. So, the net force due to liquid $A$ is $z e r o$ .

Suggest Corrections

Similar questions

Q. A uniform solid cylinder of density

0.8 g m / c m^{2}

floats in equilibrium in a combination of two non mixing liquids A and B with its axis vertical.The densities of the liquids A and B are

0.4 g m / c m^{3}

and

0.7 g m / c m^{3}

, respectively. The height of liquid A is

h_{A} = 1.2 c m

.The length of the part of the cylinder immersed in liquid B is

h_{B} = 0.8 c m

Find h, the length of the part of the cylinder in air.

Q. A uniform solid cylinder of density

8 g / c m^{3}

floats in equilibrium in a combination of two non-mixing liquids A and B with its axis vertical. The densities of liquids A and B are

0.7 g / c m^{3}

and

1.2 g / c m^{3}

, respectively. The height of liquid A is

h_{A} = 1.2 c m

. The length of the part of the cylinder with liquid B is

h_{B} = 0.8 c m

and

h = .2 c m

. Find the total force exerted by liquid

A

on the cylinder:

Q. A uniform solid cylinder of density

0.8 g / c m^{3}

floats in equilibrium in a combination of two non-mixing liquids A and B with its axis vertical. The densities of liquids A and B are

0.7 g / c m^{3}

and

1.2 g / c m^{3}

, respectively. The height of liquid A is

h_{A} = 1.2 c m

. The length of the part of the cylinder with liquid B is

h_{B} = 0.8 c m

and

h = .2 c m

. If

h

, the length of part of the cylinder in air is

\frac{x}{4} c m

. Find

x

A uniform solid cylinder of density $0.8 g / {cm}^{3}$ floats in equilibrium in a combination of two non-mixing liquids A and B with its axis vertical. The densities of the liquids A and B are $0.7 g / {cm}^{3}$ and $1.2 g / {cm}^{3}$ respectively. The height of liquid A is $h_{A} = 1.2 cm$ . The length of the part of the cylinder immersed in liquid B is $h_{B} = 0.8 cm$ .