A : A series resonant circuit is also known as an acceptor circuit.
R : For large value of Ohmic resistance, the quality factor of a series resonant circuit is high.

Options

A. If both Assertion & Reason are true and the reason is the correct explanation of the assertion, then mark (1)
B. If both Assertion & Reason are true but the reason is not the correct explanation of the assertion, then mark (2)
C. If Assertion is true statement but Reason is false, then mark (3)
D. If both Assertion and Reason are false statement, then mark (4)

Answer

To solve the assertion-reason question, we will analyze both the assertion and the reason step by step.

### Step 1: Analyze the Assertion
The assertion states that "A series resonant circuit is also known as an acceptor circuit."

- A series resonant circuit consists of a resistor (R), inductor (L), and capacitor (C) connected in series.
- At resonance, the inductive reactance (X_L) and capacitive reactance (X_C) are equal, which minimizes the total impedance (Z) of the circuit.
- This means that the circuit allows a particular frequency (the resonant frequency) to pass through with maximum current, while other frequencies are attenuated.
- Therefore, the assertion is **true** because a series resonant circuit does indeed act as an acceptor circuit, allowing only a specific frequency to pass through.

### Step 2: Analyze the Reason
The reason states that "For large value of ohmic resistance, the quality factor of a series resonant circuit is high."

- The quality factor (Q) of a resonant circuit is defined as the ratio of the resonant frequency (ω_0) to the bandwidth (Δω) of the circuit. It can also be expressed as Q = X_L/R or Q = X_C/R at resonance.
- Here, X_L is the inductive reactance and X_C is the capacitive reactance.
- As resistance (R) increases, the quality factor (Q) decreases because Q is inversely proportional to R.
- Therefore, the reason is **false** because a large value of ohmic resistance results in a low quality factor.

### Conclusion
- The assertion is true, and the reason is false. Thus, the correct option is that the assertion is true, and the reason is false.

### Final Answer
- Assertion (A) is true.
- Reason (R) is false.
- Correct option: Assertion is true, Reason is false.

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