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25 August, 21:08

Monochromatic light is incident on a grating that is 75 mm wide and ruled with 50,000 lines. The second-order maximum is seen at 32.5°. What is the wavelength of the incident light? 202 nm 605 nm 806 nm 403 nm 452 nm

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  1. 25 August, 21:52
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    = 403 nm

    Explanation:

    We have the condition for the maximum for a diffraction grating

    d sinθ = mλ

    Then the grating constant d = w/N

    = (75 mm) / (50,000)

    = 0.0015 mm

    Then wavelength of light is λ = (dsinθ) / m

    = (0.0015 mm) (sin 32.5) / 2

    =403*10-6 mm

    = 403 nm
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