A) \[\frac{1}{R}\]
B) \[\frac{1}{\sqrt{R}}\]
C) \[R\]
D) \[\frac{1}{{{R}^{3/2}}}\]
Correct Answer: A
Solution :
Kinetic energy of the satellite \[KE=\frac{1}{2}mv_{0}^{2}\] ...(1) where, \[{{v}_{0}}=\sqrt{\frac{GM}{R}}\] Now putting the value of\[{{v}_{0}}\]is Eq. (1), we get \[KE=\frac{1}{2}m{{\left( \sqrt{\frac{GM}{R}} \right)}^{2}}=\frac{1}{2}\frac{mGM}{R}\] Hence, \[KE\propto \frac{1}{R}\]
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