Solution Found!
Monochromatic light of wavelength ? = 620 nm from a
Chapter 36, Problem 14E(choose chapter or problem)
Problem 14E
Monochromatic light of wavelength λ = 620 nm from a distant source passes through a slit 0.450 mm wide. The diffraction pattern is observed on a screen 3.00 m from the slit. In terms of the intensity I0 at the peak of the central maximum, what is the intensity of the light at the screen the following distances from the center of the central maximum: (a) 1.00 mm; (b) 3.00 mm; (c) 5.00 mm?
Questions & Answers
QUESTION:
Problem 14E
Monochromatic light of wavelength λ = 620 nm from a distant source passes through a slit 0.450 mm wide. The diffraction pattern is observed on a screen 3.00 m from the slit. In terms of the intensity I0 at the peak of the central maximum, what is the intensity of the light at the screen the following distances from the center of the central maximum: (a) 1.00 mm; (b) 3.00 mm; (c) 5.00 mm?
ANSWER:
Introduction
We have to calculate the intensity of the light on the screen due to diffraction.
Ste 1
The intensity of the light due to diffraction pattern is given by
Where is given by
Now for small angle we know that
Hence we have