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16 July, 07:16

Suppose you have measured the diffraction pattern of a grating with d = 0.19 mm and have found that the spots were separated by s = 1.8 cm. Now you want to determine d for an unknown grating. With the unknown grating, the spots are separated by s = 4.5 cm. What is d (mm) ?

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  1. 16 July, 07:41
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    d = 0.076 mm

    Explanation:

    Given data

    diffraction pattern d1 = 0.19 mm = 0.019 cm

    separated s (1) = 1.8 cm

    separated s (2) = 4.5 cm

    to find out

    d2 for an unknown

    solution

    we know here that spacing in between the diffraction fringe is always inversely proportional to diffraction grating so

    we will apply here formula for unknown d that is

    d1 (s1 / L) = d2 (s2 / L)

    d2 = d1 * s (1) / s (2)

    put here all thes evalue we get d2

    d2 = d1 * s (1) / s (2)

    d2 = 0.019 * 1.8 / 4.5

    d2 = 0.0076 cm

    d2 = 0.076 mm
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