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 used on coservation of angular momentum as `(dA//dt)=(r^(2)omega)//2`.

Options

A. If both the assertion and reason are true and reason is a true explantion of the assertion.
B. If both the assertion and reason are true but the reason is not true the correct explantion of the assertion.
C. If the assertion is true but reason false
D. If both the assertion and reason are false.

Answer

A

Explanation

According to Kepler's second law,
A realvelocity is constant `(dA)/(dt)`= constant
As, `(dA)/(dt)=1/2r^(2) (d theta)/(dt)=1/2 r^(2) omega`
`(mr^(2) omega)/(2m)=L/(2m)` =constant
`L`=constant