You perform a double‑slit experiment in order to measure the wavelength of the new laser that you received for your birthday. You set your s

Question

You perform a double‑slit experiment in order to measure the wavelength of the new laser that you received for your birthday. You set your slit spacing at 1.17 mm and place your screen 8.95 m from the slits. Then, you illuminate the slits with your new toy and find on the screen that the tenth bright fringe is 4.57 cm away from the central bright fringe (counted as the zeroth bright fringe). What is your laser’s wavelength λ expressed in nanometers?

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Trúc Chi 3 years 2021-07-31T04:33:49+00:00 1 Answers 7 views 0

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  1. Dau
    0
    2021-07-31T04:35:25+00:00
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    Answer:

    laser’s wavelength λ = 597.4 nm

    Explanation:

    Given:

    Slit spacing, d = 1.17mm

    Tenth bright fringe y = 4.57cm

    Distance from slits, D = 8.95m

    n = 10

    λ = (d * y) / (D * n)

    λ = (1.17×10⁻³ * 4.57×10⁻²) / (8.95 x 10)

    λ = 5.3469‬x10⁻⁵ / 8.95×10¹

    λ = 0.5974 x 10⁻⁵⁻¹

    λ = 0.5974 x 10⁻⁶ m

    λ = 597.4 x 10⁻⁹ m

    λ = 597.4 nm

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