Question

1) What is the phase difference between the incident wave and the
reflected wave in the following?
1. Wave reflected from rigid boundary.
2. Wave reflected from free boundary.​

Answer 1

Answer:(1)π

(2)0

Explanation:

Answer 2

(1). The phase difference is π when wave reflected from rigid boundary.

(2). The phase difference is zero when wave reflected from free boundary.

Explanation:

Given both conditions,

1. Wave reflected from rigid boundary.

2. Wave reflected from free boundary.​

We know that,

(1). When the wave reflected from rigid boundary then the wave is inverted.

The phase difference between a wave and its inverted wave is π.

$y=A\cos(kx +\omega t)$

$y_{r}=-A\cos(kx +\omega t)$

$y_{r}=A\cos(kx+\omega t+\pi)$

The phase difference is

$\phi=\pi$

So, the phase difference between the incident wave and the  reflected wave is π.

(2). When the wave reflected from free boundary then,

The phase difference between the incident wave and the  reflected wave is zero.

Hence, (1). The phase difference is π when wave reflected from rigid boundary.

(2). The phase difference is zero when wave reflected from free boundary.

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Topic : phase difference

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