A cylindrical tank has a small orifice of area 'a' on its vertical wall at the bottom. The tank is filled by water to a height h above the orifice and water is emerging from the orifice. Then horizontal force exerted on the tank by the jet of water is (density of water =ρ)
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a
2ρagh
b
ρagh
c
4ρagh
d
12ρagh
answer is A.
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Detailed Solution
Velocity of efflux, v=2ghMass flow rate of water, dmdt=ρavForce exerted on the cylinder by the Jet of water, F=ρav x v=ρa 2gh2=2ρagh