A : There is no energy transferred by standing waves .
R : The total energy of each of incident and reflected wave .

Answer

To analyze the given question, we need to evaluate both the assertion (A) and the reason (R) regarding standing waves.

### Step-by-Step Solution:

1. **Understanding the Assertion (A)**:
- The assertion states that "There is no energy transferred by standing waves."
- This is true because standing waves are formed by the superposition of two waves traveling in opposite directions. In a standing wave, energy does not propagate through the medium; instead, it oscillates in place.

2. **Understanding the Reason (R)**:
- The reason states that "The total energy of each of the incident and reflected wave is unchanged."
- This is also true. When two waves interfere to create a standing wave, the energy of the individual incident and reflected waves remains constant. The energy is not lost; it is simply redistributed among the nodes and antinodes of the standing wave.

3. **Connecting Assertion and Reason**:
- While both the assertion and the reason are true, we need to determine if the reason correctly explains the assertion.
- The assertion is about the lack of energy transfer in standing waves, while the reason discusses the conservation of energy in the incident and reflected waves. Although related, the reason does not directly explain why there is no energy transfer in standing waves.

4. **Conclusion**:
- Since both the assertion and the reason are true, but the reason does not provide a correct explanation for the assertion, the answer is that both statements are true, but the reason is not a correct explanation for the assertion.

### Final Answer:
- The assertion (A) is true, and the reason (R) is true, but R is not the correct explanation for A.