A) Ratio of total energy will be 4
B) Ratio of kinetic energies will be 4
C) Ratio of potential energies will be 4
D) Ratio of total energy will be 4 but ratio of potential and kinetic energies will be 2
Correct Answer: D
Solution :
Orbital radius of satellites \[{{r}_{1}}=R+R=2R\] \[{{r}_{2}}=R+7R=8R\] \[{{U}_{1}}=\frac{-GMm}{{{r}_{1}}}\] and \[{{U}_{2}}=\frac{-GMm}{{{r}_{2}}}\] \[{{K}_{1}}=\frac{GMm}{2{{r}_{1}}}\] and \[{{K}_{2}}=\frac{GMm}{2{{r}_{2}}}\] \[{{E}_{1}}=\frac{GMm}{2{{r}_{1}}}\] and \[{{E}_{2}}=\frac{GMm}{2{{r}_{2}}}\] \\[\frac{{{U}_{1}}}{{{U}_{2}}}=\frac{{{K}_{1}}}{{{K}_{2}}}=\frac{{{E}_{1}}}{{{E}_{2}}}=4\]
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