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Q.

A large open top container of negligible mass and uniform cross-sectional area A has a small hole of cross-sectional area a in its side wall near the bottom, The container is kept over a smooth horizontal floor and contains a liquid of density p and mass mo. Assuming that the liquid starts flowing though the hole, the acceleration of the container will be

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a

2agA

b

agA

c

2Aga

d

agA2

answer is A.

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Detailed Solution

see fig (11) Here m0f=dpdtor (AHP)f=(Vρ)Vwhere f = acceleration, V = volume of liquid flowing per second and v = velocity of flow. Since V = α v, we have f=(avρ)vAHρ=av2AH or f=a(2gH)AH=2agA
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A large open top container of negligible mass and uniform cross-sectional area A has a small hole of cross-sectional area a in its side wall near the bottom, The container is kept over a smooth horizontal floor and contains a liquid of density p and mass mo. Assuming that the liquid starts flowing though the hole, the acceleration of the container will be