In a young's double-slit experiment, the seventh dark fringe is located 0.028 m to the side of the central bright fringe on a flat screen, which is 1.1 m away from the slits. the separation between the slits is 1.6 * 10-4 m. what is the wavelength of the light being used?

Question

Physics

Sandra Peck

27 May, 05:23

In a young's double-slit experiment, the seventh dark fringe is located 0.028 m to the side of the central bright fringe on a flat screen, which is 1.1 m away from the slits. the separation between the slits is 1.6 * 10-4 m. what is the wavelength of the light being used?

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Josh Duffy · Answer 1

Use: dsin (θ) = mλ where d is slit separation, m is fringe order (7), and

θ = tan⁻¹ (0.028/1.1) = 1.458deg

Now λ = dsin (θ) / m = (1.6e-4) (sin (1.458)) / 7 = 5.96e-7 or λ = 596 nm