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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 ρ  and mass m0 . Assuming that the liquid starts flowing through the hole A, the acceleration of the container will be

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a

2agA

b

agA

c

2Aga

d

Aga

answer is A.

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Detailed Solution

F=Aρυ2⇒ma1=aρυ2 ⇒a1=aρυ2m=aρ×2ghm ∴a1=aρ2ghAhρ=2agA
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