A) \[-0.5\,\,mg{{R}_{e}}\]
B) \[-1.5\,\,mg{{R}_{e}}\]
C) \[0.67\,\,mg{{R}_{e}}\]
D) none of these
Correct Answer: A
Solution :
Here: Mass of the satellite\[=m\] Height of the satellite from the earth \[h=6.4\times {{10}^{6}}m\] Gravitation potential energy of the satellite at a height h is given by, \[U=\frac{G{{M}_{e}}m}{{{R}_{e}}+h}=\frac{g{{R}_{e}}^{2}m}{2{{R}_{e}}}\] \[=-\frac{g{{R}_{e}}m}{2}=-0.5mg{{R}_{e}}\] (where\[G{{M}_{e}}=g{{R}_{e}}^{2}\]and\[h={{R}_{e}}\])
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