The given Fig. 81 shows vibrations of a mass ' (M) ' isolated by means of springs

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The given Fig. 81 shows vibrations of a mass ' \(M\) ' isolated by means of springs and a damper. If an external force ' \(F\) ' \((=A \sin \omega \mathrm{t})\) acts on the mass and the damper is not used, then

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(a) \(\omega=\sqrt{\frac{k}{M}}\)

(b) \(\omega=\frac{1}{2} \sqrt{\frac{k}{M}}\)

(c) \(\omega=2 \sqrt{\frac{k}{M}}\)

(d) \(\omega=\sqrt{\frac{k}{2 M}}\)

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