What is the Width of a Single Slit in Diffraction?

[unscientific]

Homework Statement

Homework Equations

The Attempt at a Solution

Part(a)
Diffraction is the bending of light about an aperture. To be able to resolve two distinct images, the minimum angle must satisfy the rayleigh criterion. Any angle smaller will hence affect the quality of images.

(b) Proven by integration.

(c) For observable diffraction, firstly w must be in the same order of magnitude as λ. Secondly, using w*sinθ = nλ, in order to get the first maxima to be 30^o, w must be 2λ etc...

(d) since w*sinθ = nλ, the higher wavelengths of light get spread out more than the lower wavelengths. But the central maxima will be a combination of all colors. At certain angles some wavelengths of light overlap where n_iλ_i = n_jλ_j, i≠j.

 

[unscientific]

bumpp

 

[unscientific]

bumppp