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A light cylindrical vessel is kept on a ...

A light cylindrical vessel is kept on a horizontal surface it's base area is `A`. A hole of cross-sectional area `a` is made just at it's bottom side. The minimum coefficient of friction necessary for not sliding of vessel dueto the impact force of the emerging liquid.

A

varying

B

`(a)/(A)`

C

`(2a)/(A)`

D

none

Text Solution

Verified by Experts

The correct Answer is:
C
`F=v(dm)/(dt)=varhov=v^(2)arho=(sqrt(2gy))^(2)arho=2arhogv`
force of friction `f=F=2arhogy`
`[muN=mu(Arhogy)]2arhogy,mu=(2a)/(A)`
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