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^(2)`C. `r^(2.5)`D. `r^(3.5)` |
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Answer» Correct Answer - D `(mv^(2))/r=(GMm)/R^(5//2) [:.Fprop1/r^(5//2)]` or `romega^(2)=(GM)/r^(5//2)` or `r(4pi^(2))/(T^(2))=(GM)/r^(5//2)` or `T^(2)propr^(5//2)` or `T^(2)propr^(3.5)` |
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