A) simple harmonic oscillator
B) non linear oscillator
C) damped oscillator
D) forced oscillator
E) linear oscillator
Correct Answer: C
Solution :
In damped oscillation, suppose, an oscillator having mass M and force constant k is acted upon by a resistive force\[{{F}_{0}}\]. It is found that the resistive force is proportional to the velocity (v) of the oscillator. That is\[{{F}_{b}}=bv,\]where b is a constant and is called the damping factor. If\[x\]be the instantaneous displacement of the oscillator, then \[M\frac{{{d}^{2}}x}{d{{t}^{2}}}=-kx-bv\] So, a particle oscillating under a force \[\overrightarrow{F}=-k\overrightarrow{x}-b\overrightarrow{v}\]is a damped oscillator.
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