When a circuit element X is conneted across a.c. source, a current `sqrt2 A` flows through it and this current is in phase with applied voltage. When another element Y is connected across same a.c. source, the same current flows in the circuit, but it leads the voltages by `pi//2`. Name the circuit elements X and Y. Find current that flows in the circuit when series combination of X and Y is connected acorss same a.c. voltage. Plot a graph showing variation of net impedance of series combination of X and Y as a function of angular frequency of applied voltage.

Explanation

### Step-by-Step Solution

1. **Identify Circuit Elements X and Y**:
- Element X has a current that is in phase with the applied voltage. This indicates that X is a **resistor (R)**.
- Element Y has a current that leads the voltage by \( \frac{\pi}{2} \). This indicates that Y is a **capacitor (C)**.

2. **Determine the Impedance of Each Element**:
- For the resistor (X):
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