A) \[\frac{{{k}_{1}}}{{{k}_{2}}}\]
B) \[\sqrt{\frac{{{k}_{1}}}{{{k}_{2}}}}\]
C) \[\frac{{{k}_{2}}}{{{k}_{1}}}\]
D) \[\sqrt{\frac{{{k}_{2}}}{{{k}_{1}}}}\]
Correct Answer: D
Solution :
Maximum velocity \[=a\omega =a\sqrt{\frac{k}{m}}\] Given that \[{{a}_{1}}\sqrt{\frac{{{K}_{1}}}{m}}={{a}_{2}}\sqrt{\frac{{{K}_{2}}}{m}}\]Þ \[\frac{{{a}_{1}}}{{{a}_{2}}}=\sqrt{\frac{{{K}_{2}}}{{{K}_{1}}}}\]
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