A student wishes to compare the shapes of interference patterns produced by different…
PHYSICS · Multi-part · AP · Physics 2: Algebra-based · Waves Sound and Physical Optics · Waves Sound and Physical Optics
Problem
A student wishes to compare the shapes of interference patterns produced by different numbers of equally spaced, identical slits. All slits are illuminated by the same monochromatic light of wavelength λ, and the slit separation d is the same in each case.
(a) On a single set of axes whose horizontal variable is the diffraction angle θ, sketch qualitatively the intensity distributions expected for the following configurations:
• two slits
• four slits
• eight slits.
Label relative peak heights and indicate the approximate angular width of the central maximum for each curve.
(b) Explain, without using equations, why the central maximum becomes both sharper and brighter as the number of slits increases.
(c) Predict how the number and intensity of secondary maxima evolve as additional slits are introduced. Justify your prediction with physical reasoning.