JEE Main 2022 — Gravitation Question with Solution
JEE Main 2022 (24 Jun Shift 2)
Question
The distance between Sun and Earth is . The duration of year if the distance between Sun and Earth becomes will be :
Choose an option
Show full solutionCorrect option: B
Correct answer
B
Step-by-step explanation
According to Kepler's Third Law – The Law of Periods,
where is time taken by the planet to go once around the sun and is the semi-major axis (distance) of the elliptical orbit.
(i)
Where is a constant of proportionality.
When becomes times, let the time period be .
So, time period will be .
where is time taken by the planet to go once around the sun and is the semi-major axis (distance) of the elliptical orbit.
(i)
Where is a constant of proportionality.
When becomes times, let the time period be .
So, time period will be .
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This is a previous-year question from JEE Main 2022, covering the Gravitation chapter of Physics. PrepSharp catalogues every PYQ from JEE Main with a verified answer key and step-by-step solution prepared by IIT alumni — so you can search by chapter, topic or year and revise efficiently.