2. + -2 points YF14 35 P 006 My Notes Two light sources can be adjusted to emit

Question

2. + -2 points YF14 35 P 006 My Notes Two light sources can be adjusted to emit monochromatic light of any visible wavelength. The two sources are coherent, 2.54 m apart, and in line with an observer, so that one source is 2.54 m farther from the observer than the other. (a) For what visible wavelengths (400 to 700 nm) will the observer see the brightest light, owing to constructive interference? (Enter your answers from smallest to largest starting with the first answer blank. Enter NONE in any remaining answer blanks.) nm nm nm nm (b) How would your answers to part (a) be affected if the two sources were not in line with the observer, but were still arranged so that one source is 2.54 m farther away from the observer than the other? O Each wavelength would be slightly longer O Each wavelength would be slightly shorter. O The difference between wavelengths would be larger. The difference between wavelengths would be shorter. O The wavelengths would remain the same. (c) For what visible wavelengths will there be destructive interference at the location of the observer? (Enter your answers from smallest to largest starting with the first answer blank. Enter NONE in any remaining answer blanks.) nm nm nm

Explanation / Answer

a) for constructive interference, path difference = 2.54 um = 2540 nm should be a multiple of the wavelength.

now wavelength in between 400-700 nm, we have

wavelength = 2540/6 = 423.3333 nm

wavelength = 2540/5 = 508 nm

wavelength = 2540/4 = 635 nm

b) the wavelength would remain same

c) for destructive interference, path difference = 2540 nm = wavelength(n - 0.5)

now for wavelength 400-700 nm, the required wavelength are

wavelength = 2540/5.5 = 461.8182 nm

wavelength = 2540/4.5 = 564.4444 nm

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