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Energy required to move a body of mass m from an orbit of radius 2R to 3R isA. `(GMm)/(12R^2)`B. `(GMm)/(3R^2)`C. `(GMm)/(8R)`D. `(GMm)/(6R)` |
Answer» Correct Answer - D (d) Energy required = (Potential energy of the Earth - mass system when mass is at distance 3R) -(Potentail energy of the Earth- mass system when mass is at distacnce 2R) `=(-GMm)/(3R) -((-GMm)/(2R)) = (GMm)/(3R) + (GMm)/(2R)` `=(-2GMm+3GMm)/(6R) = (GMm)/(6R)` |
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