(i) Show that for a string of length L fixed at both ends and vibrating in its n-th harmonic, the distance of the k-th node from one fixed end is xk=2kλ where k=0,1,2,…,n.
(ii) For a string of length 1.50 m vibrating in its fifth harmonic, list the positions of all antinodes measured from the left end.
(iii) Hence find the distance between the second and the fourth antinodes in this case.