Assertion : Kepler's law for planetary motion are consequence of Newton's laws
Reason : Kepler's laws can be derived by using Newton's laws.

Options

A. If both Assertin and Reason are correct and Reason is the correct explanation of Assertion
B. If both Assertion and Reason are correct but Reason is not the correct explanation of Assertion
C. If Assertion is true but Reason is false
D. If Assertion is false but Reason is true

Answer

To solve the assertion and reason question, we need to analyze both statements carefully.

**Step 1: Understand the Assertion**
- The assertion states that "Kepler's laws for planetary motion are a consequence of Newton's laws."
- Kepler's laws were formulated in the early 17th century, while Newton's laws were established later in the 17th century.
- Therefore, Kepler's laws were not derived from Newton's laws, making the assertion false.

**Step 2: Understand the Reason**
- The reason states that "Kepler's laws can be derived by using Newton's laws."
- It is indeed true that Newton's laws of motion and universal gravitation can be used to derive Kepler's laws.
- This means that while Kepler's laws were discovered first, they can be explained and derived through Newton's framework.

**Step 3: Conclusion**
- Since the assertion is false (Kepler's laws are not a consequence of Newton's laws) and the reason is true (Kepler's laws can be derived using Newton's laws), we conclude that the correct answer is:
- Assertion is false, but Reason is true.

**Final Answer:**
- The correct option is D: Assertion is false, but Reason is true.

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