(A) : Waves produced by a motor boat sailing in water are both longitudinal and transverse waves.
(R): The longitudinal and transverse waves cannot be produced simultaneously.

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 given statements, we will break down the assertion (A) and reason (R) step by step.

### Step 1: Understand the Assertion (A)
The assertion states that "Waves produced by a motor boat sailing in water are both longitudinal and transverse waves."

- **Transverse Waves**: These waves occur on the surface of the water, where the motion of the water particles is perpendicular to the direction of the wave. In this case, as the motorboat moves, it creates crests and troughs on the water surface, which are characteristic of transverse waves.

- **Longitudinal Waves**: These waves occur within the water, where the motion of the water particles is parallel to the direction of the wave. As the motorboat moves, it also creates compressions and rarefactions in the water beneath the surface, which are characteristic of longitudinal waves.

### Conclusion for Step 1:
Both types of waves are indeed produced by the motorboat: transverse waves on the surface and longitudinal waves beneath the surface. Therefore, the assertion (A) is **True**.

### Step 2: Understand the Reason (R)
The reason states that "The longitudinal and transverse waves cannot be produced simultaneously."

- This statement implies that if one type of wave is produced, the other cannot be. However, from our analysis of the assertion, we know that both types of waves can occur at the same time due to the motion of the motorboat.

### Conclusion for Step 2:
Since we have observed that both longitudinal and transverse waves are produced simultaneously by the motorboat, the reason (R) is **False**.

### Final Conclusion:
- Assertion (A) is **True**.
- Reason (R) is **False**.

### Summary:
- (A) is True: Waves produced by a motorboat are both longitudinal and transverse.
- (R) is False: Longitudinal and transverse waves can be produced simultaneously.

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