JEE Main2014PhysicsUnits and DimensionsActual
In terms of resistance R and time T , the dimensions of ratio of the permeability and permittivity is:
Options
- A[ RT ⁻² ]
- B[ R ^2 ~T ⁻¹ ]
- C[ R ^2 ]
- D[ R ^2 ~T ^2 ]
Correct answer
C. [ R ^2 ]
Step-by-step solution
Dimensions of = [ . MLT .⁻² ~A ⁻² ] Dimensions of = [ M ⁻¹ ~L ⁻³ ~T ^4 ~A ^2 ] Dimensions of R = [ ML ^2 ~T ⁻³ ~A ⁻² ] aligned & Dimensions of Dimensions of e = [ MLT ⁻² ~A ⁻² ] [ M ⁻¹ ~L ⁻³ ~T ^4 ~A ^2 ] &= [ M ^2 ~L ^4 ~T ⁻⁶ ~A ⁻⁴ ]= [ R ^2 ] aligned