A : Sound travels faster in solids as compared to liquids and gases .
R : Solids are more elastic than liquids and gases .

Answer

To analyze the given statements and determine their validity, we can break down the reasoning step by step.

### Step 1: Understand the Assertion (A)
The assertion states that "Sound travels faster in solids as compared to liquids and gases."

- **Explanation**: This statement is true. Sound waves travel fastest in solids due to the closely packed particles that facilitate quicker transmission of sound energy.

### Step 2: Understand the Reason (R)
The reason states that "Solids are more elastic than liquids and gases."

- **Explanation**: This statement is also true. Elasticity refers to the ability of a medium to return to its original shape after deformation. Solids generally have higher elasticity compared to liquids and gases, which allows them to transmit sound waves more effectively.

### Step 3: Establish the Relationship Between A and R
Now, we need to determine if the reason (R) correctly explains the assertion (A).

- **Explanation**: The high elasticity of solids indeed contributes to the faster speed of sound in these materials. The closer proximity of particles in solids allows for quicker energy transfer, and the high elasticity means that the medium can efficiently transmit vibrations. Thus, the reason provided supports the assertion.

### Conclusion
Both the assertion (A) and the reason (R) are true, and the reason correctly explains the assertion. Therefore, the correct answer is:

**Option 1: Both A and R are true, and R is the correct explanation of A.**

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