Homework Help is Here – Start Your Trial Now!
Science
Advanced Physics
In what direction does a wave of the form A sin(kx-ωt) move? (a) What about B sin(kx+ωt)? (b) Is ei(kx-ωt) a real number? Explain. (c) In what direction is the wave in (c) moving? Explain.

In what direction does a wave of the form A sin(kx-ωt) move? (a) What about B sin(kx+ωt)? (b) Is ei(kx-ωt) a real number? Explain. (c) In what direction is the wave in (c) moving? Explain.

icon
Related questions
Question

In what direction does a wave of the form A sin(kx-ωt) move? (a) What about B sin(kx+ωt)? (b) Is ei(kx-ωt) a real number? Explain. (c) In what direction is the wave in (c) moving? Explain.

Expert Solution
Step 1

Solution:

Let us consider the progressive wave travelling in positive x-axis direction. When the wave progates, the particles are oscillating in the equillibrium position.

Advanced Physics homework question answer, step 1, image 1

Step 2

let the time counted when the particle at the origin and it start oscillating. If v is the speed of wave, the wave will take time x/v when it is travel from first particle to second paticle. Therefore, the second particle will start oscillating x/v second after the first particle. It means the displacement of the second particle at a time t will be same as that of first particle at a time x/v second earlier at time (t - x/v).

Advanced Physics homework question answer, step 2, image 1

if the wave is travelling toward negative axis, the positive sign will come inside the bracket

 

steps

Step by step

Solved in 3 steps with 2 images

Blurred answer