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)^(3//2)`B. `(r_(1)+r_(2))^(3//2)`C. `(r_(1)-r_(2))^(3//2)`D. `r_(1)^(3//2)` |
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Answer» Correct Answer - B Semi major axis, `a=(r_(1)+r_(2))/(2)` Now, `T^(2)propa^(3)` `rArr T prop a^(3//2)prop ((r_(1)+r_(2))/(2))^(3//2)rArr T prop (r_(1)+r_(2))^(3//2)`. |
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