In a double-slit experiment, two parallel slits are illuminated first by light o

Question

In a double-slit experiment, two parallel slits are illuminated first by light of wavelength 474 nm, and then by light of unknown wavelength. The third-order (m = 3) dark fringe resulting from the known wavelength of light falls in the same place on the screen as the second-order (m = 2) bright fringe from the unknown wavelength. What is the unknown wavelength? In a double-slit experiment, two parallel slits are illuminated first by light of wavelength 474 nm, and then by light of unknown wavelength. The third-order (m = 3) dark fringe resulting from the known wavelength of light falls in the same place on the screen as the second-order (m = 2) bright fringe from the unknown wavelength. What is the unknown wavelength?

Explanation / Answer

so y = m lambda L/d for bright

and y = (m + 1/2) lambda L/d for dark

so y2 = y3

3.5*474/d = 2*lambda/d

lambda = 3.5*474/2= 829.5 nm

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