A : `Cl_(2)` on reaction with NaOH (cold and dilute) gives `NaClO_(3)` .
R : `Cl_(2)` get oxidized only in this reaction .

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 statements , then mark (4)

Answer

To solve the question, we need to analyze both the assertion and the reason provided.

**Assertion (A):** Cl₂ on reaction with NaOH (cold and dilute) gives NaClO₃.
**Reason (R):** Cl₂ gets oxidized only in this reaction.

### Step-by-Step Solution:

1. **Understanding the Reaction:**
- When chlorine gas (Cl₂) reacts with sodium hydroxide (NaOH) under cold and dilute conditions, it does not produce sodium chlorate (NaClO₃). Instead, it forms sodium chloride (NaCl) and sodium hypochlorite (NaOCl) as products. The balanced chemical equation for this reaction is:
\[ Cl_2 + 2NaOH \rightarrow NaCl + NaOCl + H_2O \]

2. **Analyzing the Assertion:**
- Since the assertion states that Cl₂ reacts with NaOH to give NaClO₃, and we have established that the products are NaCl and NaOCl, the assertion is **false**.

3. **Understanding Oxidation States:**
- In the reaction, the oxidation state of chlorine in Cl₂ is 0. In NaCl, the oxidation state of Cl is -1, and in NaOCl, the oxidation state of Cl is +1.
- This indicates that chlorine undergoes both oxidation (from 0 to +1 in NaOCl) and reduction (from 0 to -1 in NaCl) in this reaction.

4. **Analyzing the Reason:**
- The reason states that Cl₂ gets oxidized only in this reaction. However, since Cl₂ is both oxidized and reduced in this reaction, the reason is also **false**.

5. **Conclusion:**
- Both the assertion and the reason are false. Therefore, the correct answer is option 4: "Both statements are false."