Using the equation for the distance between fringes, Δy = xλ d , complete the following. (a) Calculate the distance (in cm) between fringes

Question

Using the equation for the distance between fringes, Δy = xλ d , complete the following. (a) Calculate the distance (in cm) between fringes for 694 nm light falling on double slits separated by 0.0850 mm, located 4.00 m from a screen. cm (b) What would be the distance between fringes (in cm) if the entire apparatus were submersed in water, whose index of refraction is 1.333? cm

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Thiên Ân 4 years 2021-08-31T16:30:23+00:00 1 Answers 35 views 0

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  1. Sigrid
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    2021-08-31T16:31:37+00:00
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    Answer:

    Explanation:

    Distance between fringe or fringe width =  xλ /  d

    where x is location of screen and d is slit separation

    Given x = 4 m

    λ = 694 nm

    d = .085 x 10⁻³ m

    distance between fringes

    = 4 x 694 x 10⁻⁹ / .085 x 10⁻³

    = 4 x 694 x 10⁻⁹ / 85 x 10⁻⁶

    = 32.66 x 10⁻³ m

    = 32.66 mm .

    3.267 cm

    b )

    when submerged in water , wavelength in water becomes as follows

    wavelength in water = wave length / refractive index

    = 694 / 1.333 nm

    = 520.63 nm

    new distance between fringes

    3.267 / 1.333

    = 2.45 cm .

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