A liquid of density `rho=rho_(0)[1+alphay]` is stored in a container where `y` is the distance from the liquid surface and `alpha=(2)/(3)m^(-1)`. A small hole is made at the bottom of the container find nearest integer of velocity of efflux (in `m//s)` when the liquid height is 1 m. Assume flow is laminar `(g=10m//s^(2))`

Answer

4

Explanation

`(dp)/(dy)=-rhog=-rho_(0)(1+alphay)impliesintdp=-intrho_(0)(1+alphay)g`
after applying Bernoulli's priciple, the velocity is `4m//s`.