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What does interference really mean? Path length difference.

At a particular point on a screen illuminated by two slits, the path length from that point to the bottom slit is greater than to the top slit. Which of the following statements are true about the path-length difference between the two waves arriving at the screen?

(True/False Problem)

1. a bright line will appear if the difference in path lengths is three wavelengths.

2. a bright line will appear if the difference in path lengths is 3/2 wavelengths.

3. a dark line will appear if the difference in path lengths is half a wavelength.

4. a bright line will appear if the difference in path lengths is 1/4 of a wavelength.

5. a dark line will appear if the difference in path lengths is two wavelengths.

Solution Preview

When two waves superpose on each other at a point, the phenomena of interference takes place. If at the given point the crests (or troughs) of the two waves coincide, the amplitude of the resultant wave is the sum of the amplitudes of the individual waves and constructive interference is said to take place at the point. A bright band is formed at that point. On the other hand if the crest of one wave coincides with the trough of the ...

Solution Summary

What interference really means is examined. The path length differences are provided.

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