Question

In forced oscillation of a particle the amplitude is maximum for a frequency $‘{\omega }_1^{\prime }$ of the force, while the energy is maximum for a frequency $‘{\omega }_2^{\prime }$ of the force, then

• A. ${\omega }_1={\omega }_2$
• B. ${\omega }_1$ > ${\omega }_2$
• C. ${\omega }_1$ < ${\omega }_2$ when damping is small and ${\omega }_1$ > ${\omega }_2$ when damping is large
• D. ${\omega }_1$ < ${\omega }_2$

Answer 1

The correct option is A ${\omega }_1={\omega }_2$

Both amplitude and energy get maximized when the frequency is equal to the natural frequency.
This is the condition of resonance. $w_1=w_2$