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Liquid of density rho is filled in the c...


Liquid of density `rho` is filled in the container of negligible mass having area A. Area of hole 'a' is very small `(alt lt A)`. Co-efficient of friction between container and surface is equal to `((a)/(A))`. As liquid is coming out of vessel, instantaneous acceleration of the container.

A

`((A)/(a)g)`

B

`(3g)/(2)`

C

`((ag)/(A))`

D

zero

Text Solution

Verified by Experts

The correct Answer is:
C
At any time
`F_("thrust")-F_("frictional")=ma`
`rhoav^(2)-mumg=ma`
`rhoa(2gh)-((a)/(A))(rhoAh)g=(rhoAh)a'`
`2rhoagh-rhoagh=rhoAha',(a)/(A)g=a'`
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