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In what way is diffraction from each slit related to the interference pattern in a double-slit experiment?

a. Destructive interference
b. Constructive interference
c. No interference
d. Random interference

1 Answer

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Final answer:

Diffraction from each slit in a double-slit experiment results in an interference pattern composed of both constructive and destructive interference, forming a pattern of bright and dark bands.

Step-by-step explanation:

In the context of Young's double-slit experiment, diffraction from each slit relates to the interference pattern in that both constructive interference and destructive interference occur.

Constructive interference arises when the condition d sin θ = mλ is satisfied, where d is the distance between slits, θ is the angle relative to the incident direction, m is the order of the interference, and λ is the wavelength of light. Conversely, destructive interference takes place when the condition d sin θ = (m + ½)λ is met (for m = 0, ±1, ±2, ±3, ...).

These conditions lead to the formation of a pattern of bright and dark bands on a screen, as the overlapping wavefronts from the slits either enhance each other (constructive) or cancel each other out (destructive).

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