Q74 / 90 · JEE Main 2014 (11 Apr Online) · Physics
The angular frequency of the damped oscillator is given by, $\omega=\sqrt{\left(\frac{\mathrm{k}}{\mathrm{m}}-\frac{\mathrm{r}^2}{4 \mathrm{~m}^2}\right)}$ where $\mathrm{k}$ is the spring constant, $\mathrm{m}$ is the mass of the oscillator and $r$ is the damping constant. If the ratio $\frac{r^2}{\mathrm{mk}}$ is $8 \%$, the change in time period compared to the undamped oscillator is approximately as follows:
- Correct answerAincreases by $1 \%$
- Bincreases by $8 \%$
- Cdecreases by $1 \%$
- Ddecreases by $8 \%$
Solution
The change in time period compared to the undamped oscillator increases by $1 \%$.
Hence, the correct answer is option: 'A'.