Statement-1: kinetic energy of SHM at mean position is equal to potential energy at ends for a particle moving in SHM.
Statement-2: Total energy in 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 if false, but the reason is true.

Explanation

To solve the given question, we need to analyze both statements regarding Simple Harmonic Motion (SHM).

### Step-by-Step Solution:

1. **Understanding Statement 1**:
- Statement 1 claims that the kinetic energy of SHM at the mean position is equal to the potential energy at the ends of the motion.
- In SHM, the mean position (equilibrium position) is where the particle has maximum kinetic energy and zero potential energy. At the extreme positions (the ends), the particle has maximum potential energy and zero kinetic energy.
- Therefore, the assertion that kinetic energy at the mean position equals potential energy at the ends is incorrect.

2. **Understanding Statement 2**:
- Statement 2 states that the total energy in SHM is conserved.
- In SHM, the total mechanical energy (sum of kinetic and potential energy) remains constant throughout the motion. This is a fundamental principle of SHM.
- Therefore, this statement is correct.

3. **Conclusion**:
- Since Statement 1 is false and Statement 2 is true, we conclude that the assertion is incorrect while the reason is correct.

### Final Answer:
- Assertion is false, but reason is true. Therefore, the answer is option D.