question_answer

In a viscously damped vibratory system with harmonic excitation, if \[{{\omega }_{1}}\] and \[{{\omega }_{2}}\] are the half power points, \[{{\omega }_{n}}\] is the natural frequency and \[\zeta \] is the damping factor, which one of the following is correct? 

A) \[\frac{{{\omega }_{2}}-{{\omega }_{1}}}{{{\omega }_{n}}}\]             

B) \[\frac{{{\omega }_{2}}+{{\omega }_{1}}}{{{\omega }_{n}}}=\zeta \]

C) \[\frac{{{\omega }_{2}}-{{\omega }_{1}}}{{{\omega }_{n}}}={{\zeta }^{2}}\]           

D) \[\frac{{{\omega }_{2}}-{{\omega }_{1}}}{{{\omega }_{n}}}=\zeta \]