NEET2011PhysicsUnits and DimensionsActual
What is the dimensions of magnetic field B in terms of C (= coulomb), M, L, T?
Options
- A[ M ^1 ~L ^1 ~T ⁻² C ]
- B[ M ^1 ~L ^0 ~T ⁻¹ C ⁻¹ ]
- C[ M ^1 ~L ^0 ~T ⁻² C ]
- D[ M ^1 ~L ^0 ~T ⁻¹ C ]
Correct answer
B. [ M ^1 ~L ^0 ~T ⁻¹ C ⁻¹ ]
Step-by-step solution
aligned & : B= F q v = [ MLT ⁻² ] [ AT ] [ LT ⁻¹ ] = [ ML ^0 ~T ⁻² ~A ⁻¹ ] & But [A]= [C ~T ⁻¹ ] & [B]= [ ML ^0 ~T ⁻¹ C ⁻¹ ] aligned