A wave on a string is represented by the wave function y(x, t) = Asin(kx - ùt). When it reflects at a loose end, what is the wave function of the reflected wave?
A)y(x, t) = Asin(kx - ùt)
B)y(x, t) = -Asin(kx + ùt)
C)y(x, t) = Asin(kx + ùt)
D)y(x, t) = -Asin(kx - ùt)

Question

Quizplus · Accepted Answer

When a wave reflects off a loose end, the wave is inverted and the direction of the wave vector changes, but the amplitude remains the same. The correct reflected wave function is y(x, t) = Asin(kx + ùt), which maintains the amplitude and inverts the direction of propagation.

A Wave on a String Is Represented by the Wave