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 will analyze both the assertion and the reason provided in the statement.

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

- **Explanation**: In a stable orbit, a satellite is subject to gravitational forces that act as the centripetal force keeping it in orbit. Since there are no external torques acting on the satellite (the gravitational force acts through the center of the planet), 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 is only applicable when there are no net external forces acting on the system. In the case of a satellite in orbit, while the magnitude of its linear momentum may remain constant, the direction of its velocity changes continuously as it moves along the circular path. Therefore, the linear momentum is not conserved because the direction of the velocity vector is changing, even though its magnitude may remain constant.

### Step 3: Conclusion
Now, we can conclude the relationship between the assertion and the reason:

- The assertion is **true**: Angular momentum is conserved for a satellite in orbit due to the absence of external torques.
- The reason is **false**: Linear momentum is not conserved because the direction of the satellite's velocity is changing, even if its speed remains constant.

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