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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 Bernoulli's theorum between points (1) and (2)
`[P_(atm)+2rhogh]+rhog(2h)+1/2 (2rho)(0)^(2)`
`=P_(atm)+(2rho)g(0)+1/2 (2rho)v^(2)`
`rArr v=2sqrt(gh) `
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