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JEE Main/Advance
IMPORTANT
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A sphere of radius r is dropped in a liquid from its surface. Which of the following graphs is/are correct?

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Important Questions on Mechanical Properties of Fluids

HARD
JEE Main/Advance
IMPORTANT

A cone of radius R and height H, is hanging inside a liquid of density ρ by means of a string as shown in the figure. If ratio of the force acting on the slant surface to that on the base by the liquid is P : Q then value of P+Q is _____. (Assume atmospheric pressure is zero and vertex of cone is just touching the liquid surface)

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MEDIUM
JEE Main/Advance
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Four spheres of equal radii R are arranged as shown in figure. All four spheres are in equilibrium. Given that ρA=2ρ, ρB=4ρ, ρD=5ρ and spring constant =k. If elongation produced in the spring is NπρR3g3k then N is _____.

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HARD
JEE Main/Advance
IMPORTANT
A capillary tube of length 10 cm is dipped 3 cm inside water. The water rises up to 5 cm in the capillary. If the same tube is dipped 6 cm inside water, the water will rise in capillary up to height _____ cm.
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JEE Main/Advance
IMPORTANT

A block of mass 1 kg and relative density 0.8 is immersed in water and fastened to bottom as shown in figure. If the tank is accelerated upward with 1 m s2, then tension in the string is _____ N. g=10 m s2

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HARD
JEE Main/Advance
IMPORTANT

A tank of area A is filled with two immiscible liquids of density 2ρ and ρ with height h and 2h respectively as shown in figure. If a small orifice of area a is made near bottom, the total time required to empty the tank is kAahg2-12, the value of k is _____.

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HARD
JEE Main/Advance
IMPORTANT

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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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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