A light cylindrical vessel which is kept on a frictional horizontal surface, its base area A and height H. A hole of cross –sectional area ‘a’ is made at a height H4 from it’s base (bottom).Then choose correct option/s.

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The minimum coefficient of friction necessary for not sliding of the vessel due to the impact force of the emerging liquid is 32aA

Range of efflux is 3H2

If position of orifice is H2 from bottom then range of efflux is maximum which is Rmax=H

From option (c) , if a < < < A is not considered , then Rmax1>H

answer is A.

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Detailed Solution

a) μMg=av2ρWhere v=32gHThen μ=32aAb) R=υt=32gH×2Hg×4=32Hc) Rmax=2gH2×2Hg×2=Hd) If a<<υso that Rmax1>H