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Question

# Assertion :Kepler's second law can be understood by conservation of angular momentum principle. Reason: Kepler's second law is related with areal velocity which can further be proved to be based on conservation of angular momentum as (dA/dt)=(r2ω)/2.

A
Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
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B
Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion
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C
Assertion is correct but Reason is incorrect
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D
Assertion is incorrect and Reason is correct
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Solution

## The correct option is A Both Assertion and Reason are correct and Reason is the correct explanation for AssertionAssertion Kepler's second law can be understoud by conservation of angular momentum principle.Reason : Kepler's second law is related with a real velocity which can further be proved to be correct based on conversation of angular momentum.So, we now according to Kepler's law dAdt= constantAs dAdt=12r2dθdt=12r2w∴ Mr2w2M=L2m= constant∴ L= constantSo, Option (a) so both assertion and reason are correct and reason is correct explanation for assertion.

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