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A body moves in a circular orbit of radius R under the action of a central force. Potential due to the central force is given by V(r) = kr (k is a positive constant). Period of revolution of the body is proportional to-A. `R^(1//2)`B. `R^(-1//2)`C. `R^(-3//2)`D. `R^(-5//2)` |
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Answer» Correct Answer - A `V (r) kr` `U (r) = mkr" "omega^(2) = (k)/(r)` `F = -(dU)/(dr) = -m" "omega = sqrt((k)/(r))` `T = (2pi sqrt(r))/(sqrt(k))` |
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