Question

Consider a driven damped mechanical oscillator is in resonance. Which of the following statements is true?

• A. Driving frequency is twice the natural frequency of the oscillator
• B. Power transfer from the driving source to system is minimum
• C. Driving frequency is the same as the natural frequency of the oscillator
• D. The force damping the oscillations are at a minimum value
• E. The driving force is in phase with the displacement

Answer 1

Answer: (C)

Under the condition for resonance for a damped harmonic oscillator, the body oscillates with its own natural frequency $f_{0}$ with the help an external periodic force whose frequency $f_{d}$ (driving frequency) which is equal to the natural frequency of the body, This means $ f_{0}=f_{d}$