Questions  

A particle of mass m is attached to a spring of spring constant ‘k’ and has a natural frequency ωo. An external force F(t) proportional to cosωtωωo is applied to the oscillator. The maximum displacement of the oscillator will be proportional to

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a
mωo2+ω2
b
1mωo2−ω2
c
1mωo2+ω2
d
mωo2−ω2
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detailed solution

Correct option is B

For forced oscillations x=x0sin⁡(ωt+Φ) and F=Focos⁡(ωt) where x0=Fe/mω02−ω22+bωm2  here  damping is zero ( b=0 )

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In forced oscillation of a particle, the amplitude is maximum for a frequency ω1 while the energy is maximum for a frequency ω2 of the force. then

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