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A cylindrical vessel contains a liquid o...

A cylindrical vessel contains a liquid of density `rho` up to height `h`. The liquid is closed by a piston of mass `m` and area of cross section `A`. There is a small hole at the bottom of the vessel. The speed `v` with which the liquid comes out of the hole is

A

`sqrt(2gh)`

B

`sqrt(2(gh+(mg)/(pA)))`

C

`sqrt(2(gh+(mg)/(A)))`

D

`sqrt(2gh+(mg)/(A))`

Text Solution

Verified by Experts

The correct Answer is:
B
`pgh+(mg)/(A)+0+0=1//2pv^(2)`
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Knowledge Check

  • In a cylindrical vessel containing liquid of density rho , there are two holes in the side walls at heights of h_1 and h_2 respectively such that the range of efflux at the bottom of the vessel is same. The height of a hole, for which the range of efflux would be maximum, will be –

    A
    `h_(2)-H_(1)`
    B
    `H_(2)+H_(2)`
    C
    `*h_(2)-h_(2))/2`
    D
    `(h_(2)+h_(1))/2`

  • In a cylindrical vessel containing liquid of density rho there are two holes in the side walls at heights of h_(1) and h_(2) respectively such that the range of efflux at the bottom of the vessel is same. The height of a hole for which the range of efflux would be maximum, will be

    A
    `h_(2) - h_(1)`
    B
    `h_(2) + h_(1)`
    C
    `(h_(2) - h_(1))/(2)`
    D
    `(h_(2) + h_(1))/(2)`

  • A liquid of density rho is filled in a vessel up to height H and a hole of cross section area A is made at a depth h below the free surface of liquid. The speed of liquid coming out of the hole is independent of

    A
    h
    B
    a
    C
    `rho`
    D
    g

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