Assertion: A satellite is orbiting around a planet then its angular momentum is conserved
Reason: Linear momentum conservation leads to angular momentum conservation.

Options

A. If both assertion and reason 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.

Answer

To solve the question, we need to analyze the assertion and the reason provided.

### Step 1: Understand the Assertion
The assertion states that "A satellite is orbiting around a planet then its angular momentum is conserved."

- **Explanation**: When a satellite orbits a planet, it is subject to gravitational force, which acts as a centripetal force. This force does not exert any torque about the center of the planet because it acts along the line connecting the satellite and the planet's center. Since torque is zero, the angular momentum of the satellite remains constant.

### Step 2: Understand the Reason
The reason states that "Linear momentum conservation leads to angular momentum conservation."

- **Explanation**: Linear momentum conservation and angular momentum conservation are related but not directly dependent on one another. In the case of a satellite in orbit, the linear momentum is not conserved due to the gravitational force acting on it. The direction of the satellite's velocity changes continuously, indicating that linear momentum is changing. Therefore, the statement that linear momentum conservation leads to angular momentum conservation is incorrect.

### Step 3: Conclusion
- The assertion is true (angular momentum is conserved for a satellite in orbit).
- The reason is false (linear momentum is not conserved, and it does not lead to angular momentum conservation).

### Final Answer
The correct option is that the assertion is true, but the reason is false.

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