The pattern above is produced by interference between identical waves emitted by

Question

The pattern above is produced by interference between identical waves emitted by two sources. Red denotes positive displacement of the medium, while blue denotes negative displacement. Black indicates zero displacement. At the orange point near the top, we say that destructive interference is occurring. The distance the orange point is from the left source is the length of the purple line; the distance the orange point is from the right source is the length of the green line.

(a) Select all the true statements about this situation.

Because the orange point is in a region of destructive interference, the net displacement at the orange point is zero at all times.

For destructive interference to occur at the orange point, the distance from each source to the orange point must be an integer number of wavelengths plus half a wavelength.

For destructive interference to occur at the orange point, the path-length difference for the orange point must be an integer number of wavelengths plus half a wavelength. The path-length difference is the distance the point is from one source minus the distance the point is from the other source.

In this particular case, the orange point is 1.5 wavelengths farther from the left source than it is from the right source.

(b) In this case, the sources are separated by a distance of 60.0 cm, and the distance the orange point is from the source on the right is 98.4 cm. How far is the orange point from the source on the left? cm

The pattern above is produced by interference between identical waves emitted by two sources. Red denotes positive displacement of the medium, while blue denotes negative displacement. Black indicates zero displacement. At the orange point near the top, we say that destructive interference is occurring. The distance the orange point is from the left source is the length of the purple line; the distance the orange point is from the right source is the length of the green line. (a) Select all the true statements about this situation. Because the orange point is in a region of destructive interference, the net displacement at the orange point is zero at all times. For destructive interference to occur at the orange point, the distance from each source to the orange point must be an integer number of wavelengths plus half a wavelength. For destructive interference to occur at the orange point, the path-length difference for the orange point must be an integer number of wavelengths plus half a wavelength. The path-length difference is the distance the point is from one source minus the distance the point is from the other source. In this particular case, the orange point is 1.5 wavelengths farther from the left source than it is from the right source. (b) In this case, the sources are separated by a distance of 60.0 cm, and the distance the orange point is from the source on the right is 98.4 cm. How far is the orange point from the source on the left? cm

Explanation / Answer

(a) Select all the true statements about this situation. (Select all that apply.)

For completely destructive interference to occur at the orange point, the path-length difference for the orange point must be an integer number of wavelengths plus half a wavelength.

The path-length difference is the distance the point is from the left source minus the distance the point is from the right source.

When we say that completely destructive interference occurs at the orange point, the net displacement must be zero at all times at that point.

(b) In this case, what is the distance between the two sources, in terms of wavelengths?

3 wavelengths

(c) Let's say that the wavelength in this case is 20.0 cm, and the distance from the source on the right to the orange point is 70.0 cm. What is the distance from the source on the left to the orange point? cm

x = 2.5 * = 2.5*20 = 50 cm

L2 - L1 = 50

==> L2 = 50 + 70

==> L2 = 120 cm

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