Problem 13-32 Standing waves on string

The distance between nodes on a standing wave pattern on a certain string is \(16\; cm\) and there are 5 nodes between the ends of the string. A single wave takes \(1.2 \;s\) to travel to one end of the rope and back again.

(a) What is the wavelength of the waves producing the pattern?
(b) How long is the rope?
(c) What is the speed of the waves?
(d) What is the frequency of the waves?
(e) What mode of vibration is occurring (i.e. which harmonic)?


Which is the correct configuration of nodes on the string?

Four possible diagrams of distance between nodes in a standing wave pattern; A, B, C, D.

(A)

(B)

(C)

(D)