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Question

The figure shows a light container kept on a horizontal rough surface of coefficient of friction μ=shv. A very small hole of area s is made at a depth h. Water of volume V is filled in the container. The friction is not sufficient to keep the container at rest. The initial acceleration of the container is,


A
VgSh
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B
g
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C
zero
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D
Shgv
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Solution

The correct option is C Shgv
Vefflux=2gh
Force exerted by the liquid on the container =ρs(2gh)2
Acceleration of the container, a=2ρSghμρ vgρ v
=(2Shvμ)g

=(2ShvShv)g

=Shgv

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