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If the differential equation of a damped oscillator is $\large \frac{{m{d^2}x}}{{d{t^2}}} + \frac{{bdx}}{{dt}} + kx\, = \,0$ then for small damping $\large \frac{b}{{\sqrt {km} }}$ is

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detailed solution

Correct option is B

For small damping, motional of the block becomes oscillatory. For this the condition (b2 -4km) < 0 must be satsified. must be satisfied.

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If the differential equation of a damped oscillator is then for small damping is

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If the differential equation of a damped oscillator is $\large \frac{{m{d^2}x}}{{d{t^2}}} + \frac{{bdx}}{{dt}} + kx\, = \,0$ then for small damping $\large \frac{b}{{\sqrt {km} }}$ is