Gravitation Question 179

Question: The 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 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 [CPMT 1986, 88]

Options:

A) $ [t_{1}<t_{2}] $

B) $ [t_{1}>t_{2}] $

C) $ [t_{1}=t_{2}] $

D) $ [t_{1}\le t_{2}] $

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Answer:

Correct Answer: C

Solution:

Areal velocity of the planet remains constant. If the areas A and B are equal then $ [t_{1}=t_{2}] $ .



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