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  4. The figure shows elliptical orbit of a planet m about the sun S. The shaded area S C D is twice the shaded area S A B. If t1 is the time for the planet to move from C to D and t2 is the time to move from A to B then

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Q. The figure shows elliptical orbit of a planet $m$ about the sun $S$. The shaded area $S C D$ is twice the shaded area $S A B$. If $t_{1}$ is the time for the planet to move from $C$ to $D$ and $t_{2}$ is the time to move from $A$ to $B$ thenPhysics Question Image

AIPMTAIPMT 2009Gravitation

Solution:

Equal areas are swept in equal time. $t_{1}$, the time taken to go from $C$ to $D=2 t_{2}$
where $t_{2}$ is the time taken to go from $A$ to $B$.
As it is given that area $S C D=2 S A B$.