Find the dimensional formula of coefficient of viscosity (η)

Explanation:

Coefficient of viscosity is defined as tangential force required to maintain a unit velocity gradient between two parallel layers of liquid of unit area. Mathematically,

Coefficient of viscosity (η)= Fr/Av where F = tangential force, r = distance between the layers, v = velocity.

Dimensional Formula of Force = M¹L¹T^-2

Dimensional Formula of Area = M⁰L²T⁰

Dimensional Formula of distance = M⁰L¹T¹

Dimensional Formula of velocity = M⁰L¹T^-1

Putting these values in above equation we get,

(η)= [M¹L¹T^-2][M⁰L¹T⁰]/[M⁰L²T⁰][M⁰L¹T^-1] = [M¹L^-1T^-1]

Final Answer:

Dimensional Formula of Coefficient of viscosity (η)= [M¹L^-1T^-1]. SI unit of Coefficient of viscosity (η) is Pascal-second.