Figure shows motion of a planet around sun in an elliptical orbit with sun at focus. shaded areas A

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7.Gravitation

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The figure shows the motion of a planet around the sun in an elliptical orbit with sun at the focus. The shaded areas $A$ and $B$ are also shown in the figure which can be assumed to be equal. If ${t_1}$ and ${t_2}$ represent the time for the planet to move from $a$ to $b$ and $d$ to $c$ respectively, then

A

${t_1} < {t_2}$

B

${t_1} > {t_2}$

C

${t_1} = {t_2}$

D

${t_1} \le {t_2}$

Solution

(c) Areal velocity of the planet remains constant. If the areas $A$ and $B$ are equal then ${t_1} = {t_2}$.

Standard 11

Physics

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