When blue light of wavelength 470 falls on a single slit, the first dark bands on either side of center are separated by 45.0. determine the width of the slit

Question

Physics

Isaias Arroyo

21 September, 13:35

When blue light of wavelength 470 falls on a single slit, the first dark bands on either side of center are separated by 45.0. determine the width of the slit

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Answers (1)

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Davin Rodgers · Answer 1

For Fraunhofer diffraction at a single slit would be represented by:

a sinθ = mλ

It should be noted that the angle needs be halved because we are only concerned with the angle between m=1 and m=0 and they gave you the angle between m=1 to the right of the center and m=1 on the left of the center. We calculate as follows:

a sin (45/2) = (1) (470)

a = 1228 nm

Hope this answers the question. Have a nice day.