Question

explain the formation of standing waves in string fixed at both the ends and the different mode of variation

Answer 1

Standing waves are intimately related to the other wave phenomena we have already discussed. We interpret standing waves as a superposition, or sum, of two traveling waves moving in opposite directions along the string. The traveling waves are reflected at the places where the string is firmly held. Since the string is held fixed at the end points, remember that positive wave pulses are reflected back as negative pulses.