JEE Main202225 Jul 2022Morning ShiftPhysicsUnits and DimensionsActual
If momentum P , area A and time T are taken as fundamental quantities, then the dimensional formula for coefficient of viscosity is
Options
- APA - 1 T 0
- BPAT - 1
- CPA - 1 T
- DPA - 1 T - 1
Correct answer
A. PA - 1 T 0
Step-by-step solution
We know, Viscosity = Pascal ‐ second Let η = P x A y T z = M 1 L - 1 T - 1 ⇒ M 1 L + 1 T - 1 x L 2 y   T 1 z = M 1 L - 1 T - 1 ⇒ M x L + x + 2 y T - x + z = M 1 L - 1 T - 1 From above, we have x = 1    x + 2 y = - 1    - x + z = - 1 Solving above three equations, we get y = - 1 and z = 0 So, Viscosity = P 1 A - 1 T 0