A 17-mm-wide diffraction grating has rulings of 530 lines per millimeter. White light is incident normally on the grating. What is the longe

Question

A 17-mm-wide diffraction grating has rulings of 530 lines per millimeter. White light is incident normally on the grating. What is the longest wavelength that forms an intensity maximum in the fifth order

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Kiệt Gia 4 years 2021-08-05T20:41:41+00:00 1 Answers 27 views 0

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  1. Sapo1
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    2021-08-05T20:43:13+00:00
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    Answer:

    377 nm

    Explanation:

    Number of lines per meter is, N &=530 \times 1000 \\ &=530000 \text { lines } / \mathrm{m} \end{aligned}

    Grating element is, d=\frac{1}{N}

    =1.8868 \times 10^{-6} \mathrm{~m}[tex] Order is, n=5 Condition for maximum intensity is, [tex]d \sin \theta=n \lambda

     \lambda &=\frac{1.8868 \times 10^{-6}}{5(\sin 90)} \\ &=0.377 \times 10^{-6} \mathrm{~m} \\ &=377 \mathrm{~nm}

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