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The velocity of the liquid coming out of...

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

A

`sqrt(6gh)`

B

`2sqrt(gh)`

C

`2sqrt(2gh)`

D

`sqrt(gh)`

Text Solution

Verified by Experts

The correct Answer is:
B


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)`
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