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Physics Gravitation Kepler’s laws of Planetary Motion MCQ (Single Correct)

The figure shows elliptical orbit of a planet m about the sun S. The shaded area SCD is twice the shaded area SAB. 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, then:

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

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Text Solution

Verified by Experts
The correct answer is:
C

Apply Kepler's law of area of planetary motion.

The line joining the sun to the planet sweeps out equal areas in equal time interval I,e, areal velocity is

constant. ,

= constant or or t1 =

Given A 1 = 2A 2

∴ t 1 = 2t 2

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