Physics
Physics
Problem
Monochromatic light incident normally on a pair of slits, each of width , separated by a distance , produces an interference pattern on a distant screen. The number of maxima of the interference pattern that occur within the single slit diffraction envelope is a. 1 b. 4 c. 7 d. 8Intuitive explanation
The key is recognizing that you're looking at the overlap between two competing patterns: the sharp interference maxima from the two-slit setup, and the broader single-slit diffraction envelope that modulates their visibility. Interference maxima occur at regular angular intervals determined by the slit separation , but only those falling within the diffraction envelope (set by individual slit width ) actually appear bright on the screen. Count how many interference maxima fit inside the angular range where the first diffraction minimum occurs.
Intuitive explanation
The key is recognizing that you're looking at the overlap between two competing patterns: the sharp interference maxima from the two-slit setup, and the broader single-slit diffraction envelope that modulates their visibility. Interference maxima occur at regular angular intervals determined by the slit separation , but only those falling within the diffraction envelope (set by individual slit width ) actually appear bright on the screen. Count how many interference maxima fit inside the angular range where the first diffraction minimum occurs.