(A): Oxidation state of carbon in `C_(6)H_(12)O_(6)` is zero.
(R) : Oxidation state of carbon in all organic compounds is zero.

Options

A. Both (A) and (R) are true 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 but (R) is true

Answer

To solve the question regarding the oxidation state of carbon in glucose (C₆H₁₂O₆) and the validity of the assertion and reason provided, we can follow these steps:

### Step 1: Identify the Assertion and Reason
- **Assertion (A)**: The oxidation state of carbon in C₆H₁₂O₆ is 0.
- **Reason (R)**: The oxidation state of carbon in all organic compounds is 0.

### Step 2: Calculate the Oxidation State of Carbon in C₆H₁₂O₆
1. **Write the formula for the compound**: C₆H₁₂O₆ (glucose).
2. **Assign variables to oxidation states**: Let the oxidation state of carbon be \( x \).
3. **Count the number of each type of atom**:
- There are 6 carbon atoms.
- There are 12 hydrogen atoms.
- There are 6 oxygen atoms.
4. **Use the known oxidation states**:
- Hydrogen (H) typically has an oxidation state of +1.
- Oxygen (O) typically has an oxidation state of -2.
5. **Set up the equation based on the total charge**:
\[ 6x + (12 \times +1) + (6 \times -2) = 0 \]
This simplifies to:
\[ 6x + 12 - 12 = 0 \]
So:
\[ 6x = 0 \]
Therefore:
\[ x = 0 \]

### Step 3: Conclusion for Assertion
- The oxidation state of carbon in C₆H₁₂O₆ is indeed 0. Thus, **Assertion (A) is true**.

### Step 4: Analyze the Reason
1. **Evaluate the statement in Reason (R)**: The oxidation state of carbon in all organic compounds is 0.
2. **Provide a counterexample**: Consider carbon tetrachloride (CCl₄):
- Let the oxidation state of carbon be \( x \).
- The oxidation states of chlorine (Cl) is -1.
- Set up the equation:
\[ x + 4(-1) = 0 \]
This simplifies to:
\[ x - 4 = 0 \implies x = +4 \]
3. **Conclusion for Reason**: The oxidation state of carbon in CCl₄ is +4, which shows that the statement in Reason (R) is false.

### Final Conclusion
- **Assertion (A)** is true, while **Reason (R)** is false.

### Summary
- The correct answer is: **A is true, but R is false**.