The angular frequency of the damped oscillator is given by

PHYSICS · Single correct · A Level · Physics · Further mechanics and thermal physics · Further mechanics and thermal 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] (1) increases by 1% (2) increases by 8% (3) decreases by 1% (4) decreases by 8%

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