Assertion (A) : The time period of revolution of a satellite around a planet is directly proportional to the radius of the orbit of the satellite.
Reason (R) : Artifical satellite do not follow Kepler's laws of planatory motion.

Options

A. If both A and R are true and R is the correct explanation of A.
B. If both A and R are true but R is not the correct explanation of A.
C. If A is true but R is false
D. If A is false and R is False.

Explanation

To solve the question, we need to evaluate both the assertion (A) and the reason (R) provided in the statement.

### Step 1: Analyze the Assertion (A)
The assertion states: "The time period of revolution of a satellite around a planet is directly proportional to the radius of the orbit of the satellite."

To analyze this, we can use the formula for the time period \( T \) of a satellite in orbit around a planet, which is derived from Kepler's laws of planetary motion:

\[ T = 2\pi \sqrt{\frac{r^3}{GM}} \]

Where:
- \( T \) is the time period,
- \( r \) is the radius of the orbit,
- \( G \) is the gravitational constant,
- \( M \) is the mass of the planet.

From this formula, we can see that:

\[ T \propto r^{3/2} \]

This means that the time period \( T \) is proportional to \( r^{3/2} \), not directly proportional to \( r \). Therefore, the assertion (A) is **false**.

### Step 2: Analyze the Reason (R)
The reason states: "Artificial satellites do not follow Kepler's laws of planetary motion."

This statement is also incorrect. Artificial satellites, like natural satellites, do follow Kepler's laws of planetary motion. The laws apply to all objects in orbit under the influence of gravity, including artificial satellites. Therefore, the reason (R) is also **false**.

### Conclusion
Since both the assertion (A) and the reason (R) are false, the correct answer is that both statements are incorrect.

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

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