Resonance — Prelims Questions

A series LCR circuit is connected to an AC source. At resonance, which of the following statements is TRUE?

A mass $m$ is attached to a spring of spring constant $k$. If the system is subjected to an external periodic force, at what angular frequency will the amplitude of oscillation be maximum?

Which of the following phenomena is NOT an example of resonance?

A series LCR circuit has $L = 20\,\text{mH}$, $C = 50,\mu\text{F}$, and $R = 10,\Omega$. What is the quality factor (Q-factor) of the circuit at resonance?

A pendulum has a natural frequency of $0.5\,\text{Hz}$. If it is subjected to a periodic driving force, which of the following driving frequencies will produce the largest amplitude of oscillation?

If the damping in an oscillating system is increased, what happens to the sharpness of its resonance curve?