Physics

A double-slit interference experiment is performed with light from a laser. The separation between the slits is 0.58 mm, and the
first-order maximum of the interference pattern is at an angle of 0.060

from the center of
the pattern.
What is the wavelength of the laser light?
Answer in units of nm

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asked by Angel
  1. The coordinate of the maximum is
    x(max) = k•λ•L/d,
    for the first max k=1
    x(max1) = λ•L/d,
    tanα = x(max1)/L = λ/d.
    λ = d• tanα = 0.55•10^-3•1.047•10^-3 = 5.76•10^-7 = 576 nm

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    posted by Elena
  2. Excuse me what was the equation you used? Because the answer is wrong.

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    posted by Angel
  3. And where did you get those numbers?

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    posted by Angel
  4. I've taken 0.55 mm instead of 0.58 mm

    If d = 0.55•10^-3, and tan α =1.047•10^-3,
    λ = d• tanα = 0.58•10^-3•1.047•10^-3 = 6.07•10^-7 = 607 nm.

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    posted by Elena

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