InterviewSolution
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InterviewSolution
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Imagine a light planet revolving around a very massive star in a circular orbit of radius R with a period of revolution T. if the gravitational force of attraction between the planet and the star is proportational to `R^(-5//2)`, then (a) `T^(2)` is proportional to `R^(2)` (b) `T^(2)` is proportional to `R^(7//2)` (c) `T^(2)` is proportional to `R^(3//3)` (d) `T^(2)` is proportional to `R^(3.75)`.A. `R^(3)`B. `R^(5//2)`C. `R^(3//2)`D. `R^(7//2)` |
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Answer» Correct Answer - B Gravitational force `(=(GMm)/(R^(3//2)))` providies the necessary centripetal force i.e `mRomega^(2)` so `(GMm)/(R^(3//2)=mR omega^(2)=mR(2pi)/(T)^(2)=(4pi^(2)mR)/(T^(2))` or `T^(2)=(4pi^(2)R^(5//2))/(GM), i.e T^(2) prop R^(5//2)` |
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