A) \[\frac{1}{2}\] lunar month
B) \[\frac{2}{3}\] lunar month
C) \[{{2}^{-3/2}}\] lunar month
D) \[{{2}^{3/2}}\] lunar month
Correct Answer: C
Solution :
Time period of revolution of moon around the earth = 1 lunar month. \[\frac{{{T}_{s}}}{{{T}_{m}}}={{\left( \frac{{{r}_{s}}}{{{r}_{m}}} \right)}^{3/2}}={{\left( \frac{1}{2} \right)}^{3/2}}\]Þ\[{{T}_{s}}={{2}^{-3/2}}\] lunar month.
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