JEE Main202120 Jul 2021Evening ShiftPhysicsUnits and DimensionsActual
If time t , velocity v , and angular momentum l are taken as the fundamental units. Then the dimension of mass ( m ) in terms of t , v and l is:
Options
- At - 1 v 1 l - 2
- Bt 1 v 2 l - 1
- Ct - 2 v - 1 l 1
- Dt - 1 v - 2 l 1
Correct answer
D. t - 1 v - 2 l 1
Step-by-step solution
m ∝ t a v b ℓ c m ∝ [ T ] a LT - 1 b ML 2   T - 1 c M 1   L 0   T 0 = M c L b + 2 c T a - b - c Comparing powers, c = 1 ,   b = - 2 ,   a = - 1 m ∝ t - 1 v - 2 ℓ 1