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A vessel is filled with water and kerose...

A vessel is filled with water and kerosence oil. The vessel has a small hole in the bottom. Neglecting viscosity if the thickness of water layer is `h_(1)` and kerosens layer is `h_(2)` then the velocity v of flow of water will be (density of water is `rho_(1)`b g/c c and that of kerosense is `rho_(2)` g/c c

A

`v=sqrt(2g(h_(1)-h_(2)))`

B

`v=sqrt([2g(h_(1)-h_(2)rho_(2)/(rho_(1))))]`

C

`v=sqrt(2g(h_(1)rho_(1)+h_()rho_(2)))`

D

`v=sqrt(2g(h_(1)rho_(1)/rho_(2)+h_(2)))`

Text Solution

Verified by Experts

(b) Net presssure `=h_(1)rho_(1)+h_(2)rho_(2)g`
According to Bernoulli's this pressue energy will be converted inot KE while folowing through the hole is
`h_(1)rho_(1)g+h_(2)rho_(2)g=(1)/(2)rhov^(2)`
`v=sqrt(2g(h_(1)+h_(2)(rho_(2))/(rho_(1))))`
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