Question

State the dimensions of coefficient of viscosity. ​

Answer 1

• The coefficient of viscosity of a liquid is defined as tangential force required per unit area to maintain unit velocity gradient between the two layer of the liquid unit distance apart.

• it is denoted by nue or n

In mathmatical form

n = F/A *dv/dx

n = force /(area*velocity change/distance )

Dimension of n = dimensionless of force *dimension of distance /dimension of area* dimension of velocity

dimension of n= [MLY^-2][L]/[L^2][LT^-1]

dimension of n = [ML^-1T^-1]

Answer 2

Answer:

Coefficient of viscosity (η)= Fr/Av ——- F= tangential Force, Area, r= distance between the layers, v= velocity. Dimensional Formula of Force = M1L1T-2. Dimensional Formula of Area= M0L2T0.