Question

Which of the following equations would result in destructive interference with the wave y = -2sin(2π/3x)?

A) y = 2sin(2π/3x)
B) y = -sin(2π/3x)
C) y = 4sin(2π/3x)
D) y = -4sin(2π/3x)

Answer 1

The equation that would result in destructive interference with the wave y = -2sin(2π/3x) is y = 2sin(2π/3x).

Step-by-step explanation:

The equation that would result in destructive interference with the wave y = -2sin(2π/3x) is y = 2sin(2π/3x). In destructive interference, the crests of one wave align with the troughs of the other wave, causing the waves to cancel out and resulting in a zero amplitude. By changing the sign of the wave's amplitude, we can achieve destructive interference.