Equal volume of two immissible liquid of densities `rho` and `2 rho` are filled in a vessel as shown in Fig. 7(CF).15. Two small holes are punched at depth `(h)/(2)` and `(3h)/(2)` from the surface of lighter liquid. If `v_(1)` and `v_(2)` are the velocities of efflux at these two holes, then `v_(1)//v_(2)` is

Explanation

According to Bernoulli.s theorem,

`"For "v_(1), p+rhog((h)/(2))=p+(1)/(2)(rho)(v_(1)^(2))rArr v_(1)=sqrt(gh)`
`"For "v_(2), P+(rhogh)+(2rho)g((h)/(2))=p+(1)/(2)(2rho)v_(2)^(2)`
`rArr v_(2)=sqrt(2gh)therefore (v_(1))/(v_(2))=(1)/(sqrt2)`