MyQuestionIcon

1

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

Archimedes' Principle

A cylinder of...

Question

A cylinder of length $10 c m$ made of material of density $0.65 g / c m^{3}$ floats half submerged in an ideal liquid kept in closed vessel as shown in the figure. Air in the vessel has density $1.30 k g / m^{3}$ . If pressure of air in the vessel in made $100$ times of its initial value, what will you observe ?

A

The cylinder moves upwards.

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

B

The cylinder moves downwards.

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

C

Displacement of the cylinder is

0.56 c m

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

D

Displacement of the cylinder is

0.60 c m

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

Open in App

Solution

The correct options are
A The cylinder moves upwards.
C Displacement of the cylinder is $0.56 c m$

Suggest Corrections

thumbs-up

0

Similar questions

Q. A solid cylinder of height h and mass m floats in a liquid of density ρ as shown in figure. Now the cylinder is released inside a liquid of density

\frac{ρ}{4}

, contained in a downward accelerated vessel. Determine the magnitude of acceleration of vessel, a, for which cylinder sinks with relative acceleration a/3 with respect to vessel. Neglect any dissipative force :

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}

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 wooden cylinder floats in water such that

4 c m

of it is above water, if the same cylinder is made to float in alcohol (density

0.8 g m^{- 3}

), the length of cylinder above alcohol will be

Q. A solid cylinder of height h and mass m is floating in a liquid of density

ρ

as shown in the figure. Find the acceleration of the vessel (in

m / s^{2})

containing liquid for which the relative downward acceleration of the completely immersed cylinder to one-third of that of the vessel. (Take

g = 10 m / s^{2})

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}

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

h = .2 c m

h

, the length of part of the cylinder in air is

\frac{x}{4} c m

x

.

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

Archimedes' Principle

PHYSICS

Watch in App

explore_more_icon

Explore more

Archimedes' Principle

Standard IX Physics

Join BYJU'S Learning Program

CrossIcon