JEE Main202131 Aug 2021Evening ShiftPhysicsUnits and DimensionsActual
If velocity V time T and force F are chosen as the base quantities, the dimensions of the mass will be :
Options
- AF V T - 1
- BF T - 1 V - 1
- CF T 2   V
- DF T V - 1
Correct answer
D. F T V - 1
Step-by-step solution
[ M ] 1 = [ V ] a [ T ] b [ F ] c [ M ] 1 = L T - 1 a [ T ] b M L T - 2 c [ M ] 1 = [ M ] c [ L ] a + c [ T ] - a + b - 2 c Thus, c = 1 , a + c = 0   and b - a - 2 c = 0 ⇒ a = - 1 ⇒ b = - 1 + 2 = 1 Thus, [ M ] = [ V ] - 1 [   T ] 1 [   F ] 1