Two harmonic waves travelling in opposite directions interfere to produce a standing wave described by y = 2 sin ( $\pi$x) cos (3 $\pi$t) where x is in m and t is in s. What is the distance (in m) between the first two antinodes?
A)8
B)2
C)4
D)1
E)0.5

Question

Quizplus · Accepted Answer

The distance between two consecutive antinodes in a standing wave is half the wavelength. The wave number k is $\pi$, so the wavelength $\lambda$ is $2$ m. Therefore, the distance between the first two antinodes is $\lambda/2 = 1$ m.

Two Harmonic Waves Travelling in Opposite Directions Interfere to Produce π\piπ

Two Harmonic Waves Travelling in Opposite Directions Interfere to Produce $\pi$