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Consider a liquid (density d) column of height h contained in a cylinder of cross section area A. There is a piston of mass m above the liquid as shown. If mgA=p0 (p0=atmospheric pressure) and p0=hdg, then velocity of efflux from the narrow hole at bottom, is Np0d, the value of N is _____.

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Important Questions on Mechanical Properties of Fluids

HARD
JEE Main/Advance
IMPORTANT

Vessel is accelerated vertically upward with acceleration a=10 m s2. If value of PB-PA is NρH, then the value of N is _____.

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HARD
JEE Main/Advance
IMPORTANT

A container is accelerating with acceleration a=g along the direction as shown below. The angle θ (in degree) made by the liquid surface with the vertical wall of the container, is _____.

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HARD
JEE Main/Advance
IMPORTANT

A soap film is formed on a triangular wire frame having two fixed and one movable side. The free side is moved with a constant acceleration 'a'. Take side length to be zero at t=0 as shown. If the surface tension is constant and U is the surface potential energy of the soap film then dUdttN, the value of N is _____.

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HARD
JEE Main/Advance
IMPORTANT

A solid cylinder of length l is in equilibrium in two different liquids A and B as shown in the figure. If density of the cylinder is PQρ, then value of P+Q is P and Q are co-prime numbers) (Density of liquid A=ρ and density of liquid B=3ρ)

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MEDIUM
JEE Main/Advance
IMPORTANT
A wire frame in the shape of circle of radius 2 cm is dipped in soap solution and taken out so that a film is formed. If the tension developed in the ring is n×10-4 N . Find the value of n . (Surface tension of soap solution is 0.03 Nm-1)
MEDIUM
JEE Main/Advance
IMPORTANT

A closed hemisphere of radius R is placed inside a container having liquid of density ρ0 up to the height H from its flat surface as shown. Then force on curved surface of hemisphere due to liquid will be

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MEDIUM
JEE Main/Advance
IMPORTANT

A massless vessel containing liquid is placed over smooth horizontal surface. At the bottom of the vessel there exist a hole of cross-sectional area A0 . Liquid is flowing out horizontally from the vessel due to which the vessel (cross-sectional area 50A0) accelerate. What is the acceleration (approximately) of the vessel when half of the liquid is drained out from the vessel? (g acceleration due to gravity)

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MEDIUM
JEE Main/Advance
IMPORTANT

Consider a small soap bubble inside a large container having soap solution. Force due to Ist half of soap bubble on IInd half due to surface tension will be (Rradius of bubble)

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