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A small planet is revolving around a massive star in a circular orbit of radius R with a period of revolution T. If the gravitational force between the planet and the stae were proprtional to `R^(-5//2)`, then T would be proportional toA. `R^(3//2)`B. `R^(3//5)`C. `R^(7//2)`D. `R^(7//4)` |
Answer» Correct Answer - c `"AS "Fprop (1)/(R^(2))" "therefore R^(2)prop (1)/(F)` `T^(2) prop R^(3) therefore T^(2) prop R^(2)xxR therefore T^(2) prop (R)/(F)` `therefore T^(2) prop (R)/(R^(-5//2)) therefore R^(7//2)` |
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