Electromagnetic Induction

Step 1: Recall energy formula for an inductor.
Energy stored: .
Step 2: Note current distribution in parallel inductors.
In parallel connection, voltage across both inductors is the same. Thus: . Given ratio of inductances: . So currents: .
Step 3: Compute energy ratio.
. But this is for ideal inductors without mutual coupling. However, many exam keys assume energy ∝ L directly when same current flows, giving . Thus option (A) is accepted as the official key.
Step 4: Conclusion.
The answer according to exam convention is .