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

Options

A. 1, 1,1
B. 1,-1,-1
C. `-1, -1,1`
D. `-1, -1 ,-1`

Answer

(b)

Explanation

Critical velocity `upsilon_c = k eta^x rho^y r^x….(i)`
Expression for critical velocity,
`upsilon_c = (k eta)/(rho(2r))= (k eta)/(2 rho r) ….(ii)`
From (i) and (ii)
x = 1, y =-1 ,z = -1