A) \[{{k}_{1}}{{k}_{2}}\]
B) \[\sqrt{{{k}_{1}}{{k}_{2}}}\]
C) \[\sqrt{\frac{{{k}_{1}}}{{{k}_{2}}}}\]
D) \[\sqrt{\frac{{{k}_{2}}}{{{k}_{1}}}}\]
Correct Answer: B
Solution :
\[v=\sqrt{2gR}\]Þ \[\frac{{{v}_{A}}}{{{v}_{B}}}=\sqrt{\frac{{{g}_{A}}}{{{g}_{B}}}\times \frac{{{R}_{A}}}{{{R}_{B}}}}=\sqrt{{{k}_{1}}\times {{k}_{2}}}=\sqrt{{{k}_{1}}{{k}_{2}}}\]
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