(A) : Transverse waves are not produced in liquids and gases.
(R): Light waves are transverse waves.

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 and 'R' is false
D. Both 'A' and 'R' are false

Answer

To analyze the statements given in the question, let's break it down step by step:

### Step 1: Understand Statement (A)
Statement (A) claims that "Transverse waves are not produced in liquids and gases."

- **Explanation**: Transverse waves are characterized by particle motion that is perpendicular to the direction of wave propagation. In solids, particles can move in such a way that allows for the formation of crests and troughs. However, in liquids and gases, the particles do not have a fixed shape and cannot support shear stress, which is necessary for the formation of transverse waves. Therefore, this statement is **true**.

### Step 2: Understand Statement (R)
Statement (R) claims that "Light waves are transverse waves."

- **Explanation**: Light waves are indeed electromagnetic waves, which are transverse in nature. In these waves, the electric and magnetic fields oscillate perpendicular to the direction of wave propagation. Thus, this statement is also **true**.

### Step 3: Analyze the Relationship Between (A) and (R)
Now, we need to determine whether statement (R) is a correct explanation of statement (A).

- **Analysis**: While both statements are true, statement (R) does not explain why statement (A) is true. The fact that light waves are transverse does not provide any reasoning or explanation for the inability of transverse waves to be formed in liquids and gases. Therefore, statement (R) is **not** a correct explanation of statement (A).

### Conclusion
Based on the analysis:
- Both statements (A) and (R) are true.
- Statement (R) does not explain statement (A).

Thus, the correct option is: **A and R are true, and R is not the correct explanation of A**.

### Final Answer
The correct answer is option **B**.

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