question_answer2) 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
question_answer3) In forced oscillation of a particle, the amplitude is maximum for a frequency\[{{\omega }_{1}}\]of the force, while the energy is maximum for a frequency \[{{\omega }_{2}}\]of the force, then
A)
\[{{\omega }_{1}}={{\omega }_{2}}\]
doneclear
B)
\[{{\omega }_{1}}>{{\omega }_{2}}\]
doneclear
C)
\[{{\omega }_{1}}<{{\omega }_{2}}\]when damping is small and\[{{\omega }_{1}}>{{\omega }_{2}}\] when damping is large