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

Options

A. `sqrt2 gh `
B. `sqrt (2 g (h + (m )/( rho A ))) `
C. `sqrt ( g (h + (m )/( rho A ))) `
D. `sqrt ( g (h + (2m )/( rho A ))) `

Answer

B

Explanation

`h rho g + (mg)/(A) =1/2 rho v ^(2)`