A) \[\sqrt{3}:\sqrt{2}\]
B) \[1:\sqrt{2}\]
C) \[\sqrt{3}:1\]
D) \[\sqrt{5}:\sqrt{3}\]
Correct Answer: B
Solution :
Radius of gyration is given by \[k=\sqrt{\frac{l}{m}}\] For given problem \[\frac{{{k}_{disc}}}{{{k}_{ring}}}=\sqrt{\frac{{{l}_{disc}}}{{{l}_{ring}}}}\] \[\frac{{{k}_{disc}}}{{{k}_{ring}}}=\sqrt{\frac{\frac{1}{2}M{{R}^{2}}}{M{{R}^{2}}}}=1:\sqrt{2}\]
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