What is the time taken by a planet to sweep an area of 2 million square km if the time taken by the same planet to cover an area of 1 million square km is 36 hours?
(a) 18 hours
(b) 36 hours
(c) 72 hours
(d) 144 hours
The question was posed to me at a job interview.
My question is based upon Gravitation topic in section Gravitation of Physics – Class 11
Select the correct answer from above options
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Correct answer is (c) 72 hours
Easiest explanation: According to Kepler’s law of area, a line segment joining a planet and the Sun sweeps out equal areas during equal intervals of time.
If it takes 36 hours to sweep an area of 1 million square km, it would take (36 + 36) hours to sweep an area of (1 + 1) million square km.
Therefore, the answer is 72 hours.