Narrow, bright fringes are observed on a screen behind a diffraction grating. The entire experiment is then immersed in water. Do the fringe

Question

Narrow, bright fringes are observed on a screen behind a diffraction grating. The entire experiment is then immersed in water. Do the fringes on the screen get closer together, get farther apart, remain the same, or disappear? Explain.

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Thiên Ân 5 months 2021-08-06T13:04:38+00:00 1 Answers 9 views 0

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  1. thienthi
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    2021-08-06T13:06:01+00:00
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    Answer:

     n (a sin θ) =  m λ₀

    n> 1, therefore the fringes move away from each other

    Explanation:

    The diffraction experiment the constructive interference fringes is described by

              a sin θ = m λ₀

    in this equation it is assumed that the experiment emptied the air n = 1

    When the same experiment is performed in water, the wavelength changes

               λₙ = λ₀ / n

    execution for constructive interference

                a sin θ = m λₙ

    we substitute

               a sin θ = m λ / n

               n (a sin θ) =  m λ₀

    the refractive index of water is n = 1.33, so for the same wavelength the separation of the spectrum is multiplied by n> 1, therefore the fringes move away from each other

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