Physics

Physics

Problem

The angular frequency of the damped oscillator is given by, ω=(km−r24m2)\omega = \sqrt{\left(\frac{k}{m} - \frac{r^2}{4m^2}\right)} where kk is the spring constant, mm is the mass of the oscillator and rr is the damping constant. If the ratio r2mk\frac{r^2}{mk} is 8%, the change in time period compared to the undamped oscillator is approximately as follows: [Main Online April 11, 2014] a. increases by 1% b. increases by 8% c. decreases by 1% d. decreases by 8%

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