A) \[\frac{m}{\omega _{0}^{2}-{{\omega }^{2}}}\]
B) \[\frac{1}{m(\omega _{0}^{2}-{{\omega }^{2}})}\]
C) \[\frac{1}{m(\omega _{1}^{2}+{{\omega }^{2}})}\]
D) \[\frac{m}{\omega _{1}^{2}+{{\omega }^{2}}}\]
Correct Answer: B
Solution :
For forced oscillation, \[x={{x}_{0}}\sin (\omega t+\varphi )\] and \[F={{F}_{0}}\cos \omega \,t\] where, \[{{x}_{0}}=\frac{{{F}_{o}}}{m\,(\omega _{o}^{2}-{{\omega }^{2}})}\]\[\propto \frac{1}{m(\omega _{o}^{2}-{{\omega }^{2}})}.\]
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