NEET2009PhysicsUnits and DimensionsActual
Dimensions of resistance in an electrical circuit, in terms of dimension of mass M , of length L , of time T and of current I , would be
Options
- A[ ML ^2 ~T ⁻³ I ⁻¹ ]
- B[ ML ^2 ~T ⁻² ]
- C[ ML ^2 ~T ⁻¹ I ⁻¹ ]
- D[ ML ^2 ~T ⁻³ I ⁻² ]
Correct answer
D. [ ML ^2 ~T ⁻³ I ⁻² ]
Step-by-step solution
Resistance R= potential difference current = V i = W q i ( Potential difference is equal to work done per unit charge) So, Dimensions of R [Dimensions of work] [Dimensions of charge][Dimensions of current] = [ ML ^2 ~T ⁻² ] [ IT ][ I ] = [ ML ^2 ~T ⁻³ I ⁻² ]