The velocity of the liquid coming out of a small hole of a vessel containing two different liquids of densities `2rho` and `rho` as shown in the figure is

Options

A. `sqrt(6gh)`
B. `2sqrt(gh)`
C. `2sqrt(2gh)`
D. `sqrt(gh)`

Answer

B

Explanation

Pressure at (1), `P_(1)=P_(atm)+rhog(2h)`
Applying Bernoull's theorem between points (`1`) and (`2`)
`(P_(atm)+2rhogh)+rhog(2h)=P_(atm)+1/2(2rho)v^(2)`
`impliesv=2sqrt(gh)`