A string, of length L, clamped at both ends is vibrating in its first overtone mode. Answer the following questions for the moment the string looks flat
(a) Find the distance between two nearest particles each of which have half the speed of the particle having maximum speed.
(b) How many particles in the string have one eighth the speed of the particle travelling at highest speed?

Answer

(a) `L/6`
(b) `4`