If dimensions of critical velocity vc of a liquid flowing through a tube are expressed as are the coefficient of viscosity of liquid, density of liquid and radius of the tube respectively, then the values of x, y and z are given by
1,-1,-1
-1,-1,1
-1,-1,-1
-1,-1,-1
A.
1,-1,-1
According to the principle of homogeneity of dimension states that, a physical quantity equation will be dimensionally correct if the dimension of all the terms occurring on both sides of the equations is same.
Given critical velocity of liquid flowing through a tube are expressed as
x+ y = 0, - x-3y+z = 1, -x = -1
z = -11 x = 1, y = -1