In dimension of critical velocity v_(c) of liquid following through a tube are expressed as [eta^(x)rho^(y)r^(z)] where eta, rho and r 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

In dimension of critical velocity v_(c) of liquid following through a

1.	In dimension of critical velocity v_(c) of liquid following through a tube are expressed as [eta^(x)rho^(y)r^(z)] where eta, rho and r 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
Answer» 1,1,1 `1,-,1-1` `-1,-1,-1` `-1,-1,-1,` SOLUTION :`v_(c) prop eta^(x) rho^(y) r^(z)` `:.v_(c)=k eta^(x) rho^(y) r^(z)` Where k is DIMENSIONLESS Writtingh dimension formula on both the side, `M^(0)L^(1)T^(-1)=(M^(1)L^(-1)T^(-1))^(x) XX (M^(1)L^(-3)T^(0))xx (M^(0)L^(1)T^(0))^(z)` `:. M^(0)L^(1)T^(-1)=M^(x)L^(-x)xx M^(y)L^(-3)T^(0)xx L^(z)` `=M^(x+y)L^(-x-3y+z)T^(-x)` COMPARING powerof M,L,T `0=x+y "" 1=-x-3y+z "" -1=-x` `:.1=-1-3(-1)+z :. x=1` `:. 0=1+y "" :.1=-1+3+z` `:.y=-1"" :. -1=z` `:.x=1, y=-1 , z=-1`