Two harmonic waves traveling in opposite directions interfere to produce a standing wave described by y = 3 sin (2x) cos 5t where x is in m and t is in s. What is the wavelength of the interfering waves?
A) 3.14 m
B) 1.00 m
C) 6.28 m
D) 12.0 m
E) 2.00 m

Question

Quizplus · Accepted Answer

The wavelength is given by lambda = 2*pi/k, where k is the wave number. The wave number is given by k = 2*pi/lambda. So, lambda = 2*pi/k = 2*pi/(2*pi/3) = 3 m.

Two Harmonic Waves Traveling in Opposite Directions Interfere to Produce