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What is the minimum energy required to launch a satellite of mass m from the surface of a planet of mass M and radius R in a circular orbit at an altitude of 2R?A. `(GMm)/(2R)`B. `(2GMm)/(2)`C. `(GMm)/(3R)`D. `(5 GMm)/(2)`

Answer» Correct Answer - B
The minimum energy required to launch a satellite form surface of earth is equal to the amount of work done against gravity to move it form the surface of earth to a height h and is given by `U = W = GMm ((1)/(r_(1))-(1)/(r_(2)))`
` = GMm ((1)/(R) - (1)/(R +h))`
Here h = 2R
`rArr " " U = GMm ((1)/(R) -(1)/(3R)) = (2GMm)/(3R)`


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