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If the path-length differences between two identical and coherent beams is two wavelengths when they arrive on a screen, will they produce a dark or a bright spot?
a. bright spotb. dark spot

Answer :

skyluke89

Answer:

Bright spot

Explanation:

When we have interference between two identical and coherent beams, the conditions for constructive interference (bright spots) and destructive interference (dark spots) are:

- Costructive interference: the path-length differences between the two waves is an integer multiple of the wavelength of the waves:

[tex]|d_1 - d_2| = n \lambda[/tex]

where the term on the left is the path difference, and [tex]\lambda[/tex] is the wavelength

- Destructive interference: the path-length differences between the two waves is an odd multiple of half the wavelength of the waves:

[tex]|d_1 - d_2| = (n+\frac{1}{2}) \lambda[/tex]

In this problem, the path-length difference is 2 wavelengths: so, it is an integer multiple of the wavelength, therefore the point is a point of constructive inteference (bright spot).

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