A sonometer wire has a length of $114$ cm, between two fixed ends. Where should two bridges be placed so as to divide the wire into three segments (in cm) whose fundamental frequencies are in the ratio 1 : 3 : 4 ?

Question

\[\begin {array} {1 1} (1)\;l_1,l_2,l_3=18,24,72 & \quad (2)\;l_1,l_2,l_3=24,18,72 \\ (3)\;l_1,l_2,l_3=72,18,24 & \quad (4)\;l_1,l_2,l_3=72,24,18 \end {array}\]