The M.K.S. units of coefficient of viscosity is-a)kg m-1s-1b)kg m s-2c...
We know that coefficient of viscosity (η)= Fr/Av where F = tangential force, r = distance between the layers , v = velocity and A is the area of the surface.
Thus we get [η] = MLT-2.L / L2. (L/T)
= M / LT
Thus its unit is kg / m sec
The M.K.S. units of coefficient of viscosity is-a)kg m-1s-1b)kg m s-2c...
The MKS units of coefficient of viscosity is kg m-1s-1. This can be explained as follows:
What is coefficient of viscosity?
Coefficient of viscosity, also known as dynamic viscosity, is a measure of a fluid's resistance to flow. It is defined as the ratio of the applied shearing stress to the rate of shear strain.
What are MKS units?
MKS units refer to the International System of Units, which is a modern form of the metric system. MKS stands for meter-kilogram-second, which are the base units for length, mass, and time respectively.
How is the unit of coefficient of viscosity derived?
The formula for coefficient of viscosity is given by:
η = F/A x 1/v
where η is the coefficient of viscosity, F/A is the applied shearing stress, and 1/v is the rate of shear strain.
The units of F/A are N/m2, which is also known as Pascal (Pa). The units of 1/v are s-1. Therefore, the units of coefficient of viscosity (η) can be derived as follows:
η = (N/m2) x (s) = (kg/ms2) x (s) = kg/ms
Since 1 ms-1 = 1 m/s, the final unit of coefficient of viscosity can be written as kg m-1s-1.
Therefore, the correct answer to the given question is option 'A' - kg m-1s-1.