In dimension of circal velocity `v_(0)` liquid following through a take are expressed as `(eta^(x) rho^(y) r^(z))` where `eta, rhoand r `are the coefficient of viscosity of liquid density of liquid and radius of the tube respectively then the value of `x,y` and `z` are given by

Answer

`upsilon_c prop =(eta)/(rho r)`

Explanation

Let `upsilon_c = k r^a rho^b eta^c`
`[M_0 L^1 T^(-1)] = L^a [ML^(-3)]^b [ML^(-1) T^(-1)]^c`
`=M^(b+c) L^(a-3b-c)T^(-c)`
`:. B+c = 0, a-3b -c =1, -c =-1`.
Simplify to get the required relation.