NTA Abhyas JEE Main2020PhysicsUnits and DimensionsPractice
If v = A t + B t 2 + C t 3 where v is velocity, t is time and A , B and C are constants, then the dimensional formula of B is
Options
- A[ M 0 L T 0 ]
- B[ M L 0 T 0 ]
- C[ M 0 L 0 T ]
- D[ M 0 L T - 3 ]
Correct answer
D. [ M 0 L T - 3 ]
Step-by-step solution
Dimension of velocity = [ M 0 L 1 T - 1 ] [ v ] = [ B t 2 ] ∴ [ B ] = [ v ] [ t 2 ] = [ M 0 L 1 T − 1 ] [ T 2 ] = [ L 1 T − 3 ]