A) \[100:1\]
B) \[1:\sqrt{10}\]
C) \[\sqrt{10}:1\]
D) \[10\sqrt{10}:1\]
Correct Answer: D
Solution :
\[{{d}_{neptune}}={{10}^{13}}m;\,\,{{d}_{Saturn}}={{10}^{12}}m\] \[{{T}^{2}}\propto {{R}^{3}}\] (Kepler?s 3rd law) \[\frac{{{T}_{N}}}{{{T}_{S}}}={{\left( \frac{{{10}^{13}}}{{{10}^{12}}} \right)}^{3}}={{\left[ 10 \right]}^{3}}=\frac{{{T}_{neptune}}}{{{T}_{saturn}}}=\sqrt{\frac{1000}{1}}\] \[\frac{{{T}_{neptune}}}{{{T}_{saturn}}}=10\sqrt{10}:1\]
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