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
  • Aincreases by $1\%$
  • Bincreases by $8\%$
  • Cdecreases by $1\%$ 
  • Ddecreases by $8\%$
JEE MAIN 2014, Medium
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