Given below are two statements:
Statement I : An AC circuit ungergoes 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:

Options

A. Both Statement I and Statement II are true
B. Statement I is true but statement II is false
C. Statement I is false but Statement II is true
D. Both Statement I and Statement II are false

Answer

To solve the given problem, we need to analyze the two statements provided.

### Step 1: Analyze Statement I
**Statement I:** An AC circuit undergoes electrical resonance if it contains either a capacitor or an inductor.

**Explanation:**
- Electrical resonance in an AC circuit occurs when the inductive reactance (XL) equals the capacitive reactance (XC). This condition is met when both a capacitor and an inductor are present in the circuit.
- If the circuit contains only a capacitor or only an inductor, it cannot achieve resonance because there is no opposing reactance to balance out the other.

**Conclusion for Statement I:** This statement is **false**.

### Step 2: Analyze Statement II
**Statement II:** An AC circuit containing a pure capacitor or a pure inductor consumes high power due to its non-zero power factor.

**Explanation:**
- A pure capacitor or a pure inductor does not consume real power in an AC circuit. The power factor (PF) for a pure capacitor is 0 (leading) and for a pure inductor is also 0 (lagging).
- Since the power factor is zero, the average power consumed by the circuit is also zero. Therefore, it does not consume high power.

**Conclusion for Statement II:** This statement is **false**.

### Final Conclusion
Both statements are false.

### Summary of the Solution:
- Statement I is false because resonance requires both a capacitor and an inductor.
- Statement II is false because pure capacitors and inductors have a power factor of zero, leading to zero average power consumption.