MHT CET202014 Oct 2020Morning ShiftPhysicsUnits and DimensionsActual
Let the inductance and resistance be denoted by 'L' and 'R' respectively. The dimensions of ( L R ) are
Options
- A[ L ¹ M ⁰ ~T ¹ ]
- B[ L ⁰ M ⁰ ~T ⁰ ]
- C[ L ⁰ M ¹ ~T ⁰ ]
- D[ L ⁰ M ⁰ ~T ¹ ]
Correct answer
D. [ L ⁰ M ⁰ ~T ¹ ]
Step-by-step solution
We know that; Dimensional formula of L = ML ² ~T ⁻² ~A ⁻² Dimensional formula for R = R = ML ² ~T ⁻³ ~A ⁻² L R = ML ² ~T ² ~A ² T ² ~A ² ML ² = M ⁰ ~L ⁰ ~T