Assertion: In damped oscillation, the energy of the system is dissipated continuously.
Reason: For small damping, the oscillations remain approximately periodic.

Options

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

Explanation

To solve the assertion and reason question, we will analyze both statements step by step.

### Step 1: Understand the Assertion
The assertion states: "In damped oscillation, the energy of the system is dissipated continuously."
- Damped oscillations are characterized by a decrease in amplitude over time due to the presence of resistive forces like friction or air resistance.
- As the system oscillates, energy is lost in the form of heat or sound due to these resistive forces.
- Therefore, the assertion is **true**.

### Step 2: Understand the Reason
The reason states: "For small damping, the oscillations remain approximately periodic."
- In the case of small damping, the oscillations do not lose their periodic nature significantly; they continue to oscillate in a regular pattern, although with gradually decreasing amplitude.
- Thus, the reason is also **true**.

### Step 3: Analyze the Relationship Between Assertion and Reason
- Both the assertion and the reason are true statements.
- However, the reason does not provide a correct explanation for the assertion. The assertion discusses energy dissipation, while the reason discusses the periodic nature of oscillations under small damping.

### Conclusion
Since both the assertion and reason are true, but the reason does not correctly explain the assertion, the correct option is that both statements are true but the reason is not the correct explanation of the assertion.

### Final Answer
Both the assertion and reason are true, but the reason is not the correct explanation of the assertion.

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