A: When light travels from a rarer to a denser medium, it loses some speed but it doesn't imply a reduction in the energy carried by the light wave.
R: Energy carried by a wave depends on the amplitude of the wave and not on the speed of wave propagation.

Options

A. IF both Assertion & Reason are true and the reason is the correct explanation of the assertion, then mark (1).
B. If both Assertion & Reason are true but the reason is not the correct explanation of the assertion, then mark(2)
C. IF Assertion is true statement but Reason is false then mark(3)
D. If both Assertion and Reason are false statements, then mark (4)

Answer

To analyze the assertion and reason provided in the question, we will break down the concepts involved step by step.

### Step 1: Understanding the Assertion
The assertion states that when light travels from a rarer medium to a denser medium, it loses some speed, but this does not imply a reduction in the energy carried by the light wave.

- **Explanation**: When light moves from a rarer medium (like air) to a denser medium (like glass), its speed decreases due to the optical density of the medium. However, this decrease in speed does not mean that the energy of the light wave decreases.

### Step 2: Analyzing the Relationship Between Speed and Energy
The energy carried by a light wave is given by the formula:
\[ E = h \nu \]
where \( E \) is the energy, \( h \) is Planck's constant, and \( \nu \) (nu) is the frequency of the light wave.

- **Explanation**: The energy of the light wave depends on its frequency, not on its speed. Therefore, even though the speed of light decreases in a denser medium, the energy remains constant as long as the frequency does not change.

### Step 3: Understanding the Reason
The reason states that the energy carried by a wave depends on the amplitude of the wave and not on the speed of wave propagation.

- **Explanation**: This statement is partially incorrect. While it is true that amplitude can affect the intensity of a wave, the energy of a photon (light wave) is fundamentally dependent on its frequency, not amplitude. Thus, the reason provided is false.

### Step 4: Conclusion
Based on the analysis:
- The assertion is true: Light loses speed when moving from a rarer to a denser medium, but this does not imply a reduction in energy.
- The reason is false: Energy does not depend on amplitude but on frequency.

### Final Answer
The correct conclusion is that the assertion is true, but the reason is false. Therefore, the correct option is (C): Assertion is true, Reason is false.

---