MEDIUM
JEE Main/Advance
IMPORTANT
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When a capillary tube is dipped in a liquid, the liquid rises to a height h in the tube. The free liquid surface inside the tube is hemispherical in shape. The tube is now pushed down so that the height of the tube outside the liquid is less than h :-

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Important Questions on Viscosity and Surface Tension

MEDIUM
JEE Main/Advance
IMPORTANT

PQRS is a rectangular frame of copper wire shown in figure the side RS of the frame is movable. If a soap film is formed on it then what is the diameter (in mm ) of the wire to maintain equilibrium (Given surface tension of soap solution =0.045 N m-1 and density of copper =8.96×103 kg m-3

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MEDIUM
JEE Main/Advance
IMPORTANT
The pressure of air in a soap bubble of 0.7 cm diameter is 8 mm of water above the atmospheric pressure. Calculate the surface tension of soap solution. Take g=9.8 ms-2.
MEDIUM
JEE Main/Advance
IMPORTANT

The capillary tube is dipped in water vertically. It is sufficiently long so that water rises to maximum height h in the tube. The length of the portion immersed in water is l>h. The lower end of the tube is closed, the tube is taken out and opened again. Then, find the length of the water column (in metre) remaining in the tube. ( given h=4 m)

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EASY
JEE Main/Advance
IMPORTANT
There is a 1 mm thick layer of glycerine between a flat plate of area 100 cm2 and a big plate. If the coefficient of viscosity of glycerine is 1.0 kgm-sec, then how much force (in N ) is required to move the plate with a velocity of 7 cmsec.
HARD
JEE Main/Advance
IMPORTANT
A spherical ball of radius 3.0×104 m and density 104 kg m-3 falls freely under gravity through a distance h before entering a tank of water. If after entering the water the velocity of the ball does not change, find h. Viscosity of water is 9.8×106 N s m-2. [g= 9.8 m s-2, ρw=1000 kg m-3]
HARD
JEE Main/Advance
IMPORTANT
When a vertical capillary of length l, with the sealed upper end, was brought in contact with the surface of a liquid, the level of this liquid rose to the height h. The liquid density is ρ, the inside diameter of the capillary is d, the contact angle is θ and the atmospheric pressure is p0. Find the surface tension of the liquid.