Statement-I: When a planet is at maximum distance from the sun, its speed is minimum.
Statement-II: The motion of planet around the sun does not follow the law of conservation of angular momentum.

Options

A. If both Statement-I and Statement-II are true, and Statement - II is the correct explanation of Statement– I.
B. If both Statement-I and Statement-II are true but Statement - II is not the correct explanation of Statement – I.
C. If Statement-I is true but Statement-II is false.
D. If Statement-I is false but Statement-II is true.

Answer

To solve the given question, we need to analyze both statements provided:

**Statement-I:** When a planet is at maximum distance from the sun, its speed is minimum.

**Statement-II:** The motion of the planet around the sun does not follow the law of conservation of angular momentum.

### Step-by-Step Solution:

1. **Understanding Statement-I:**
- In an elliptical orbit, a planet moves faster when it is closer to the sun (perihelion) and slower when it is farther from the sun (aphelion).
- This behavior is a consequence of the conservation of angular momentum. The angular momentum \( L \) of a planet is given by:
\[ L = mvr \]
where \( m \) is the mass of the planet, \( v \) is its tangential speed, and \( r \) is the distance from the sun.
- When the distance \( r \) is at its maximum (aphelion), to keep the angular momentum constant, the speed \( v \) must be at its minimum.

**Conclusion for Statement-I:** This statement is **True**.

2. **Understanding Statement-II:**
- The law of conservation of angular momentum states that if no external torque acts on a system, the total angular momentum of that system remains constant.
- In the case of a planet orbiting the sun, the gravitational force acts as a central force, which does not exert any torque about the center of the sun.
- Therefore, the angular momentum of the planet-sun system is conserved.

**Conclusion for Statement-II:** This statement is **False**.

### Final Conclusion:
- **Statement-I is True.**
- **Statement-II is False.**

Thus, the correct answer would be that Statement-I is true, and Statement-II is false.