Assertion: The motion of a simple pendulum is simple harmoni for all angular displacement.
Reason: Motion of simple pendulum is independent of the angular displacement.

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: Analyze the Assertion**
- The assertion states: "The motion of a simple pendulum is simple harmonic for all angular displacements."
- A simple pendulum exhibits simple harmonic motion (SHM) when the angular displacement is small (typically less than 15 degrees). For larger angular displacements, the motion deviates from SHM due to the non-linear nature of the restoring force.
- Therefore, the assertion is **false** because the motion of a simple pendulum is not simple harmonic for all angular displacements.

**Step 2: Analyze the Reason**
- The reason states: "Motion of simple pendulum is independent of the angular displacement."
- This statement is also incorrect. The motion of a simple pendulum is very much dependent on the angular displacement. The period of the pendulum and the nature of the motion change with the angle of displacement.
- Therefore, the reason is also **false**.

**Step 3: Conclusion**
- Since both the assertion and the reason are false, we conclude that the correct answer is that both statements are incorrect.

### Final Answer:
Both the assertion and the reason are false.

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