Define coefficient of viscosity and obtain its dimensional formula

1.	Define coefficient of viscosity and obtain its dimensional formula
Answer» Coefficient of viscosity is equal the viscos force when area and velocity gardient is unity.<br>Coefficient of viscosity of a liquid is numerically equal to viscous force per unit area, which maintain a unit velocity gradient between two parallel layers.Dimensional formula of viscosity is [ML-1T].<br>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-2Dimensional Formula of Area= M0L2T0Dimensional Formula of distance= M0L1T0Dimensional Formula of velocity= M0L1T-1Putting these values in above equation we get,[η]= [M1L1T-2][M0L1T0] / [M0L2T0] [M0L1T-1] = [M1L-1T-1]Dimensional Formula of Coefficient of viscosity (η)=[M1L-1T-1]SI unit of Coefficient of viscosity (η) is Pascal-second

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