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# The total length of a sonometer wire between fixed ends is 110 m .Two bridges are placed to divide the length of wire in ratio 6 :3 :2 .The tension in the wire is 400 N and the mass per unit length is 0.01 kg/m . What is the minimum common frequency with which three parts can vibrate ?

$(a)\;1100\;Hz\qquad(b)\;1000\;Hz\qquad(c)\;166\;Hz\qquad(d)\;100\;Hz$