The dark fringes that appear represent where the waves interfere
C. Destructively
Explanation:
Interference is a phenomenon typical of waves, that occurs when two waves meet at a certain point in space. The amplitude of the resultant wave can be found by using the principle of superposition, which states that the displacement of the resultant wave is the sum of the displacements of each wave. In particular, there are two extreme cases that can occur:
- Constructive interference: this occurs when the two waves meet in phase - i.e., the crest of one wave meets with the crest of the other wave. In this case, the amplitude of the resultant wave is twice the amplitude of each wave.
- Destructive interference: this occurs when two waves meet in anti-phase - i.e, the crest of one wave meets with the trough of the other wave. In this case, the amplitude of the resultant wave is equal to the difference between the two amplitues (and if the two waves have same amplitude, the resultant amplitude will be zero).
This phenomenon can occur also with light wave (which is a type of wave), and it leads to:
- The presence of bright fringes in case of constructive interference
- The presence of dark fringes in case of destructive interference
Therefore, the correct answer is
C. Destructively
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