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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 $(d A / d t)=\left(r^2 \omega\right) / 2$.
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Reason : Kepler's second law is related with areal velocity which can further be proved to be based on conservation of angular momentum as $(d A / d t)=\left(r^2 \omega\right) / 2$.
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If both assertion and reason are true and reason is the correct explanation of assertion.
According to Kepler's law, $\frac{d A}{d t}=$ constant As, $\frac{d A}{d t}=\frac{1}{2} r^2 \frac{d \theta}{d t}=\frac{1}{2} r^2 \omega$
$\begin{aligned} & \therefore \frac{m r^2 \omega}{2 m}=\frac{L}{2 m}=\text { constant } \\ & \therefore L=\text { constant }\end{aligned}$
$\begin{aligned} & \therefore \frac{m r^2 \omega}{2 m}=\frac{L}{2 m}=\text { constant } \\ & \therefore L=\text { constant }\end{aligned}$
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