InterviewSolution
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InterviewSolution
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A planet of mass `m` moves around the Sun of mass Min an elliptical orbit. The maximum and minimum distance of the planet from the Sun are `r_(1)` and `r_(2)`, respectively. Find the relation between the time period of the planet in terms of `r_(1)` and `r_(2)`.A. `(r_(1)+r_(2))`B. `(r_(1)+r_(2))^(1//2)`C. `r_(1)-r_(2))^(3//2)`D. `(r_(1)+r_(2))^(3//2)` |
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Answer» Correct Answer - D According to kepler third law `T^(2)` is proportinal to cube of semi major axis of the alliptical orbit Semi major axis `=(r_(1)+r_(2))/(2)` `therefore T^(2) prop [(r_(1)+r_(2))/(2)] rarr T prop (r_(1)r_(2))^(3//2)` |
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