Home Physics Gravitation NTA Abhiyas Question The given figure shows the elliptical orbit …
Physics Gravitation NTA Abhiyas Question MCQ (Single Correct)

The given figure shows the elliptical orbit of a planet ra about the sun S. If t 1 is the time taken by the planet to move from C to D and fa is the time taken by the planet to move from A to B, then the relation between t 2 and fa is [Given, area SCD = 2 (area SAB)]

A
t 1 = 4t 2
B
t 1 = 2t 2
C
t 1 = t 2
D
2t 1 – t 2

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Text Solution

Verified by Experts
The correct answer is:
B

t 1 = 2t 2

According to kepler's second law

Equal areas are swept in equal time, ti, the time taken to go from C to D = 2t 2 where t 2 is the time taken to

go from A to B. As it is given that area

SCD = 2SAB.

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