question_answer

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. What is relation between \[{{\omega }_{1}}\] and \[{{\omega }_{2}}\]?                    

Answer:

                Only in case of resonance, both amplitude and energy of oscillation are maximum. In the condition of resonance, \[{{\omega }_{1}}={{\omega }_{2}}.\]