Assertion (A) : At resonance , the current becomes minimum is a sreies LCR circuit.
Reason (R) : At resonance, voltage and current are in same phase in a series LCR circuit.

Options

A. Both A and R are true and R is the correct explanation of A.
B. Both A and R are true and R is NOT the correct explanation of A.
C. A is true but R is false
D. A is false and R is true

Explanation

To analyze the given assertions and reasonings, we will evaluate each statement step by step.

### Step 1: Understanding the Assertion (A)
**Assertion (A): At resonance, the current becomes minimum in a series LCR circuit.**

- In a series LCR circuit, resonance occurs when the inductive reactance (XL) equals the capacitive reactance (XC). At this point, the impedance (Z) of the circuit is minimized and equals the resistance (R) of the circuit.
- The formula for impedance in a series LCR circuit is given by:
\[ Z = \sqrt{R^2 + (X_L - X_C)^2} \]
- At resonance, since \(X_L = X_C\), the impedance simplifies to:
\[ Z = R \]
- The current (I) in the circuit is given by Ohm's law:
\[ I = \frac{V}{Z} \]
- Since Z is at its minimum value (equal to R), the current will be at its maximum, not minimum.

**Conclusion for Assertion (A):** The assertion is **false**.

### Step 2: Understanding the Reason (R)
**Reason (R): At resonance, voltage and current are in the same phase in a series LCR circuit.**

- At resonance, the circuit behaves like a pure resistive circuit because the reactances cancel each other out (XL = XC).
- In a purely resistive circuit, the voltage and current are indeed in phase, meaning they reach their maximum and minimum values simultaneously.
- Therefore, the statement that at resonance voltage and current are in the same phase is **true**.

**Conclusion for Reason (R):** The reason is **true**.

### Final Conclusion
- Assertion (A) is false, and Reason (R) is true. Therefore, the correct answer is that Assertion (A) is false while Reason (R) is true.

### Summary of Results
- Assertion (A): False
- Reason (R): True