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A large open top container of negligible...

A large open top container of negligible mass and uniform cross sectional area `A` has a small uniform 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 `rho` and mass `m_(0)`. Assuming that the liqud starts flowing through the hole A the acceleration of the container will be

A

`(2ag)/(A)`

B

`(ag)/(A)`

C

`(2Ag)/(a)`

D

`(Ag)/(a)`

Text Solution

Verified by Experts

The correct Answer is:
A
`F=ma., rhoa v^(2)=ma., rho a(2gh)=ma.`
`a.=(2rhoagh)/(m)=(2rhoagh)/(rhoAh)=(2ag)/(A)`
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