Given below are two statements:
Statement I : An AC circuit undergoes electrical resonance if it contains either a capacitor or an inductor.
Statement II: An AC circuit containing a pure capacitor or a pure inductor consumes high power due to its non-zero power factor. In the light of above statements, choose the correct answer from the options given below:

Statement I: "An AC circuit undergoes electrical resonance if it contains either a capacitor or an inductor."

This is false. Electrical resonance requires BOTH a capacitor AND an inductor in the circuit (an LC or RLC circuit). A circuit with only one of them cannot resonate.

Statement II: "An AC circuit containing a pure capacitor or a pure inductor consumes high power due to its non-zero power factor."

This is false. A pure capacitor or pure inductor has a power factor of zero ($$\cos 90° = 0$$). The average power consumed is zero.

Both statements are false.

This matches option 3: Both Statement I and Statement II are false.