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

Answer

B

Explanation

Applying Bernoulli between points just inside and outside the hole :
` P_0 + rho g (2h ) + 2 rho gh = P _ 0 + (1)/(2) 2 rho v ^2 `
` v = 2 sqrt (gh) `