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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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a

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

b

Range of efflux is 3H2

c

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

d

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

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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.