A guitar string of length 64 cm and mass 6.16 g is fixed at both ends. The wave generated travels along the string at a speed of 642 ms-1.

Question

(i)What is the frequency of the third harmonic?
(ii)What is the tension of the string?
(iii)Suppose the guitar string is replaced by a thinner string such that the mass per unit length is a quarter of
the original value, calculate the third harmonic frequency after the replacement if the tension remained
the same.