A disc of mass 'm' and radius 'r' is present on a rough surface . Find the angular frequency (w) of the S.H.M . Consider pure rolling of the disc

Question

$(a)\;\sqrt{\large\frac{8K_{1}}{3m}}\qquad(b)\;\sqrt{\large\frac{4 K_{1}}{3m}}\qquad(c)\;\sqrt{\large\frac{K_{1}}{3m}}\qquad(d)\;None\;of\;these$