First, consider two wave pulses on a string that approach each other along the x

Question

First, consider two wave pulses on a string that approach each other along the x axis. (Figure 1) The displacement of the string in the y direction is shown by the purple curves. Assume that each moves with speed 1 meter per second. The figure shows the string at time t=0. The effect of each wave pulse on the string (which is the medium for these wave pulses) is to displace it up or down. The pulses have the same shape, except for their orientation. Assume that each pulse displaces the string a maximum of 0.5 meters, and that the scale on the x axis is in meters.

Part D.

In talking about interference, you will most likely speak in terms of phase differences as well as wavelength differences. In the mathematical description of a sine wave, the phase corresponds to the argument of the sine function. For example, in the function y=Asin(kx), the argument of the sine function is  kx and this is the phase of the wave at a point x. Recall that in radians a full cycle (or a full oscillation) corresponds to 2? radians.

The previous part involved a shift of ?/2. How many radians does this shift correspond to?

Express your answer as a number in the interval [-3.14, 3.14].

Part F.

Suppose that the reflected ray receives an extra half-cycle phase shift when it reflects. What is the new phase shift at point B?

Express your answer as a number in the interval [-9.42, 9.42]

Explanation / Answer

no figure

Related Questions

Navigate

• Browse (All)
• Browse F
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.