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A particle of mass m is attached to a spring (of spring constant k) and has a natural angular frequency ${\omega _0}$ - An external force $F (t)$ proportional to $\cos \omega \,t((\omega \ne {\omega _0})$ is applied to the oscillator. The time displacement of the oscillator will be proportional to
  • 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$\frac{m}{{\omega _1^2 + {\omega ^2}}}$
AIEEE 2004, Medium
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