Two strings made of the same material have lengths L1 and L2 and are fixed at both ends. The linear mass densities of the strings are identical. The first string is kept under tension T1 and the second under tension T2. Both strings are observed to have the same fundamental frequency.
(i) Derive an expression for the ratio T2T1 in terms of L1 and L2.
(ii) If L1=0.80m, L2=1.00m and T1=64N, determine the value of T2.
(iii) Comment briefly on whether your result in part (ii) would change if the strings had different linear mass densities but were still made of the same material.