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29 November, 09:06

A transmission diffraction grating with 420 lines/mm is used to study the light intensity of di event orders (n). A screen is located 2.8 m from the grating. What are the positions on the screen of the three brightest red lines for a hydrogen source?

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  1. 29 November, 11:45
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    Diffraction grating is used to form interference pattern of dark and bright band.

    Distance between adjacent slits (a) = 1 / 420 mm

    = 2.38 x 10⁻³ mm

    2.38 x 10⁻⁶ m

    wave length of red light

    = 680 x 10⁻⁹ m

    For bright red band

    position x on the screen

    = n λD / a, n = 0,1,2,3 etc

    D = distance of screen

    putting n = 1, 2 and 3, we can get three locations of bright red band.

    x₁ = λD / a

    = 680 x 10⁻⁹ x 2.8 / 2.38 x 10⁻⁶

    =.8 m

    = 80 cm

    Position of second bright band

    = 2 λD / a

    = 2 x 80

    = 160 cm

    Position of third bright band

    = 3 λD / a

    = 3 x 80

    = 240 cm
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