(A): Two arms of a tuning fork vibrate in same phase.
(R): Each arm has a different frequency of vibration.

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 solve the assertion and reason question, we need to analyze both the assertion (A) and the reason (R) provided.

### Step 1: Analyze the Assertion (A)
The assertion states: "Two arms of a tuning fork vibrate in the same phase."

- **Understanding the Assertion**:
- A tuning fork consists of two arms (or tines) that vibrate when struck.
- "Same phase" means that both arms move in the same direction at the same time. For example, if one arm moves outward, the other arm should also move outward simultaneously.

- **Evaluation**:
- When a tuning fork is struck, both arms do indeed vibrate together. When one arm moves outward, the other arm also moves outward, and when one moves inward, the other moves inward.
- Therefore, the assertion is **true**.

### Step 2: Analyze the Reason (R)
The reason states: "Each arm has a different frequency of vibration."

- **Understanding the Reason**:
- Frequency of vibration refers to how often the arms complete a cycle of motion in a given time.
- If the arms of the tuning fork were to have different frequencies, they would not be able to vibrate in sync with each other.

- **Evaluation**:
- In reality, both arms of a tuning fork are designed to vibrate at the same natural frequency because they are made of the same material and have the same dimensions.
- Therefore, the reason is **false**.

### Step 3: Conclusion
- Since the assertion is true and the reason is false, we conclude that the correct answer is that the assertion is true, but the reason is false.

### Final Answer
- The correct option is: **Assertion (A) is true, but Reason (R) is false.**

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