Assertion: In a small segment of string carrying sinusoidal wave, total energy is conserved.
Reason: Every small part moves in SHM and total energy of SHM is conserved.

Options

A. if both Assertion and Reason are true and the Reason is correct explanation of the Assertion.
B. If both Assertion and reason are true, but reason is not correct explanation of the Assertion.
C. If Assertion is true, but the reason is false
D. If assertion is false, but the reason is true.

Explanation

To analyze the given assertion and reason, we will break down the concepts involved and evaluate their validity step by step.

### Step-by-Step Solution:

1. **Understanding the Assertion**:
- The assertion states that "In a small segment of string carrying sinusoidal wave, total energy is conserved."
- A sinusoidal wave on a string involves oscillations where energy is transferred along the string, but not necessarily conserved in a small segment.

2. **Understanding the Reason**:
- The reason states that "Every small part moves in SHM (Simple Harmonic Motion) and total energy of SHM is conserved."
- In SHM, the total mechanical energy (which is the sum of potential and kinetic energy) of an individual oscillator is indeed conserved.

3. **Evaluating the Assertion**:
- In a small segment of the string, as a wave travels, energy is continuously transferred from one segment to another. Therefore, the energy in that small segment does not remain constant; it changes as energy moves through it.
- Thus, the assertion is **false**.

4. **Evaluating the Reason**:
- The reason correctly states that each small part of the string behaves like a simple harmonic oscillator, and the total mechanical energy of such an oscillator is conserved.
- Therefore, the reason is **true**.

5. **Conclusion**:
- Since the assertion is false and the reason is true, we conclude that the assertion does not support the reason.

### Final Answer:
- **Assertion**: False
- **Reason**: True