NTA Abhyas JEE Main2020PhysicsUnits and DimensionsPractice
What is the dimensional formula of co-efficient of viscosity?
Options
- ADimensional formula: M 1 L - 1 T - 1
- BDimensional formula: M 2 L - 3 T - 1
- CDimensional formula: M - 4 L 1 T - 2
- DDimensional formula: M - 1 L 3 T - 2
Correct answer
A. Dimensional formula: M 1 L - 1 T - 1
Step-by-step solution
Coefficient of viscosity η = F x A v F = tangential Force, A = Area, x = distance between the layers, v = velocity. Dimensional Formula of Force = M 1 L 1 T - 2 Dimensional Formula of Area = M 0 L 2 T 0 Dimensional Formula of distance = M 0 L 1 T 0 Dimensional Formula of velocity = M 0 L 1 T - 1 Putting these values in above equation we get, η = M 1 L 1 T - 2 M 0 L 1 T 0 M 0 L 2 T 0 M 0 L 1 T - 1 = M 1 L - 1 T - 1