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In the adjacent figure a cylindrical ve...

In the adjacent figure a cylindrical vessel of mass M and cross - sectional area A is placed inverted on a fixed smooth piston of same cross - sectional area fixed to the ground . The space between the cylinder and priston is completely filled with liquid of density ` rho ` . There is a small office of cross - sectional area a ` ( a lt lt A)` at the top top portion of this vessel . ( intially length of the liquid column in the vessel is H )
Speed of the liquid with which it comes out of the vessel is

A

`sqrt(2gH)`

B

`sqrt((2Mg)/(rho^(A))`

C

`sqrt((Mg)/(2rhoA))`

D

`sqrt((Mg)/(rho^(A))`

Text Solution

Verified by Experts

The correct Answer is:
A
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Knowledge Check

  • The breaking stress on a unit cross sectional area is

    A
    tensile strength
    B
    yielding point
    C
    elastic fatigue
    D
    none of these

  • A cylindrical vessel contains a liquid of density p up to height h. The liquid is closed by a piston of mass m and aea 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))`

  • 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)/(rhoA)))`
    C
    `sqrt(2(gh+(mg)/A))`
    D
    `sqrt(2(gh+(mg)/A))`