A) \[f\]
B) \[f\times 2\]
C) \[f\times \sqrt{2}\]
D) \[f/\sqrt{2}\]
Correct Answer: D
Solution :
For the given figure \[f=\frac{1}{2\pi }\sqrt{\frac{{{k}_{eq}}}{m}}=\frac{1}{2\pi }\sqrt{\frac{2k}{m}}\] ?..(i) If one spring is removed, then keq = k and \[f'=\frac{1}{2\pi }\sqrt{\frac{k}{m}}\] ?.(ii) From equation (i) and (ii), \[\frac{f}{{{f}'}}=\sqrt{2}\] Þ \[{f}'=\frac{f}{\sqrt{2}}\]
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