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Q.

In forced oscillations displacement equation is \large x\left( t \right)\, = \,A\cos \left( {{\omega _d}t + \theta } \right) then amplitude ‘A’ vary with forced angular frequency \large {\omega _d} and natural angular frequency ‘\large \omega’ as (b = damping constant)

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a

\large \frac{F}{{m{\omega ^2}}}

b

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c

\large \frac{F}{{m\left( {{\omega ^2} - \omega _d^2} \right)}}

d

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answer is B.

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Detailed Solution

The amplitude "A" is a funciton of the external periodic  force  frequency  and  the  natural frequency \large {\omega _o}

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