A closed of length `l` containing a liquid of variable density `rho(x)=rho_
Channel: Doubtnut
Date: 28/01/2020

A closed of length `l` containing a liquid of variable density `rho(x)=rho_(0)(1+alphax)` find the net force exerted by the liquid on the axis of rotation. (take the cylinder to be massless and `A=` cross sectional area of cylinder) (a). `rho_(0)Aomega^(2)l^(2)[(1)/(2)+(1)/(3)alphal]` (b). `rho_(0)Aomega^(2)l^(2)[(1)/(2)+(2)/(3)alphal]` (c). `rho_(0)Aomega^(2)l^(2)[(1)/(2)+alphal]` (d). `rho_(0)Aomega^(2)l^(2)[(1)/(2)+(4)/(3)alphal]`