EASY
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IMPORTANT
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In order that a floating object be in a stable equilibrium, its centre of buoyancy should be _____.

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Important Questions on Properties of Solid and Liquid

MEDIUM
JEE Main
IMPORTANT

A cylindrical vessel contains a liquid of density ρ up to a height h. The liquid is closed by a piston of mass m and area of cross-section A. There is a small hole at the bottom of the vessel. The speed v with which the liquid comes out of the hole is
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MEDIUM
JEE Main
IMPORTANT

Water flows through a frictionless duct with a cross-section varying as shown in the figure. Pressure P at points along the axis is represented by

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MEDIUM
JEE Main
IMPORTANT

A cylindrical tank has a hole of 1 cm2 in its bottom. If the water is allowed to flow into the tank from a tube above it at the rate of 70 cm3 s-1 then the maximum height up to which water can rise in the tank is :

MEDIUM
JEE Main
IMPORTANT
Water is flowing through a long horizontal tube. Let PA and PB be the pressures at two points A and B of the tube. Which of the following is true?
MEDIUM
JEE Main
IMPORTANT

A cylindrical container of radius R and height h is completely filled with a liquid. Two horizontal L shaped pipes of a small cross-section area a are connected to the cylinder as shown in the figure. Now the two pipes are opened and fluid starts coming out of the pipes horizontally in opposite directions. Then the torque due to ejected liquid on the system is:

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MEDIUM
JEE Main
IMPORTANT

The velocity of the liquid coming out of a small hole of a large vessel containing two different liquids of densities 2ρ and ρ as shown in the figure is

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HARD
JEE Main
IMPORTANT

A long capillary tube of mass 'π' g, radius 2 mm and negligible thickness, is partially immersed in a liquid of surface tension 0.1 N/m. Take angle of contact zero and neglect the buoyant force of liquid. The force required to hold the tube vertically is 3π2500x newton. Find x.g=10 m/s2

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EASY
JEE Main
IMPORTANT

If NaCl is dissolved into water, then its surface tension