diffraction grating has 5150 lines per centimeter ruled on it. What is the angular separation between the first- and the third-order bright

Question

diffraction grating has 5150 lines per centimeter ruled on it. What is the angular separation between the first- and the third-order bright spots on the same side of the central maximum when the grating is illuminated by a beam of light with wavelength 633 nm

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Edana Edana 3 years 2021-07-18T23:07:05+00:00 1 Answers 31 views 0

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  1. Amity
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    2021-07-18T23:08:35+00:00
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    Answer:

    Explanation:

    width of slits a = 1 x 10⁻² / 5150

    = 1.941 x 10⁻⁶ m

    angular position of first bright fringe = λ / a ,   λ is wavelength of light

    = 633 x 10⁻⁹ / 1.941 x 10⁻⁶

    = 326.12 x 10⁻³ radian

    angular position of third bright fringe = 3 λ / a ,   λ is wavelength of light

    = (3 x 633 x 10⁻⁹)  / 1.941 x 10⁻⁶

    = 978.36  x 10⁻³ radian

    angular separation between the two

    = 978.36  x 10⁻³  –  326.12 x 10⁻³

    = 652.24 x 10⁻³ radian .

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