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Visible light of wavelength 2 passes through a single slit of width x and forms a diffraction pattern on a screen a distance L

 

Visible light of wavelength 2 passes through a single slit of width x and forms a diffraction pattern on a screen a distance L from the slit. If the light of wavelength is used 2', the original diffraction pattern can be reproduced if the slit width is x'. Determine x'/x.

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