Question

The single slit diffraction pattern shown below was made with light with λ = 420 nm....

The single slit diffraction pattern shown below was made with light with λ = 420 nm. The screen was 1.7 m from the slit, and the distance to the second minimum (indicated by the arrow) was 0.5 cm. What is the slit width in mm?

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Answer #1

The width of the second minimum can be determined as :

d = 2L*sin(alpha)

where L=1.7 m is the distance between the slit and screen and alpha is the angle for direction to the first minimum. Because
sin(alpha) = lambda/a,

d = 2L*lambda/a = 2*1.7*420x10^-9/0.005 = 0.0002856 m = 0.02856 cm.

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