On a screen (2.5 mathrm{~m}) from a slit (0.0500 mathrm{~mm}) wide, you measure a separation distance of

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On a screen \(2.5 \mathrm{~m}\) from a slit \(0.0500 \mathrm{~mm}\) wide, you measure a separation distance of \(31 \mathrm{~mm}\) between adjacent \(n=1\) and \(n=2\) dark fringes of a laser interference pattern. What is the wavelength of the laser radiation? The screen is far enough away and the fringes close enough together to justify the small-angle approximation.

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