Question

A particle with restoring force proportional to displacement and resisting force proportional to velocity is subjected to a force `F sin omegat `. If the amplitude of the particle maximum for `omega=omega_(2)` then `(omega_(0)` is the angular frequency of undampled oscillations ).
A. `omega_(1)=omega_(0) ` and `omega_(2)!=omega_(0)`
B. `omega_(1)=omega_(0) ` and `omega_(2)=omega_(0)`
C. `omega_(1)!=omega_(0) ` and `omega_(2)=omega_(0)`
D. `omega_(1)!=omega_(0) ` and `omega_(2)!=omega_(0)`

Answer 1

Correct Answer - C
Amplitude resonance takes place at a frequency of external force which is less than the frequency of undampled vibrations. The velocity resosnace (max. energy) takes place when frequency of external periodic force is equal to the natural frequency of undamped vibrations.