question_answer

The angular frequency of the damped oscillator is given by,\[\omega =\sqrt{\left( \frac{k}{m}-\frac{{{r}^{2}}}{4{{m}^{2}}} \right)}\]where k is the spring constant, m is the mass of the oscillator and r is the damping constant. If the ratio\[\frac{{{r}^{2}}}{mk}\]is 8%, the change in time period compared to the undamped oscillator is approximately as follows:   [JEE Main Online Paper ( Held On 11 Apirl  2014 )

A) increases by 1%               

B) increases by 8%

C) decreases by 1%             

D) decreases by 8%