In the arrangement shown two liquids of density `rho` and `2rho` are filled in a container the height of both liquids is h. there are two holes A and B at heights `h_(1)` and `h_(2)` from top liquid surface and bottom of the vessel. if `V_(1)` and `V_(2)` are the velocities of efflux at the two holes A and B respectively, find the correct graph.
Take `=alpha((V_(2))/(V_(1)))^(2)`

Options

A.
B.
C.
D.

Answer

B

Explanation

`V_(1)^(2)=2gh_(1)` ….(1)k
`rhogh+(2rho)g(h-h_(2))=(1)/(2)(2rho)V_(2)^(2)`
`V_(2)^(2)=g(3h-2h_(2))` .(2)
`((V_(2))/(V_(1)))^(2)=((3h)/(2h_(1))-(h_(2))/(h_(1)))`
As `h_(2)` increases `((V_(2))/(V_(1)))^(2)` will decrease.