Two sinusoidal waves, each of wavelength 5 m and amplitude 10 cm, travel in opposite directions on a 20-m stretched string which is clamped at each end.Excluding the nodes at the ends of the string, how many nodes appear in the resulting standing wave?
A)3
B)4
C)5
D)7
E)8

Question

Quizplus · Accepted Answer

The number of nodes in a standing wave is given by n = (L/λ) + 1, where L is the length of the string and λ is the wavelength. In this case, L = 20 m and λ = 5 m, so n = (20/5) + 1 = 5. Therefore, there are 5 nodes in the resulting standing wave, excluding the nodes at the ends of the string.

Two Sinusoidal Waves, Each of Wavelength 5 M and Amplitude