Suppose that two tanks, 1 and 2, each with a large opening at the top, contain different liquids. A small hole is made in the side of each tank at the same depth h below the liquid surface, but the hole in tank 1 has half the cross-sectional area of the hole in tank 2. (a) What is the ratio rho_(1) // rho_(2) of the densities of the liquids if the mass flow rate is the same for the two holes? (b) What is the ratio R_(v_(1))//R_(v_(2)) of the volume flow rates from the two tanks? (c) At one instant, the liquid in tank 1 is 16.0 cm above the hole. If the tanks are to have equal volume flow rates, what height above the hole must the liquid in tank 2 be just then?

Suppose that two tanks, 1 and 2, each with a large opening at the top,

1.	Suppose that two tanks, 1 and 2, each with a large opening at the top, contain different liquids. A small hole is made in the side of each tank at the same depth h below the liquid surface, but the hole in tank 1 has half the cross-sectional area of the hole in tank 2. (a) What is the ratio rho_(1) // rho_(2) of the densities of the liquids if the mass flow rate is the same for the two holes? (b) What is the ratio R_(v_(1))//R_(v_(2)) of the volume flow rates from the two tanks? (c) At one instant, the liquid in tank 1 is 16.0 cm above the hole. If the tanks are to have equal volume flow rates, what height above the hole must the liquid in tank 2 be just then?
Answer» SOLUTION :(a) 2 , (B) 1/2 , (C) 4.00 CM

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