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24 January, 00:59

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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  1. 24 January, 01:19
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    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.
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