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A disc of mass m is attached to a spring of stiffness k as shown in the figure. The disc rolls without slipping on a horizontal surface. The natural frequency of vibration of the system is         

(a) $\frac{1}{2\Pi }\sqrt{\frac{k}{m}}$                                                           (b) $\frac{1}{2\Pi }\sqrt{\frac{2k}{m}}$

(c)$\frac{1}{2\Pi }\sqrt{\frac{2k}{3m}}$                                                          (d)$\frac{1}{2\Pi }\sqrt{\frac{3k}{2m}}$

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