The radiation emitted by mercury vapor lamps includes green 546. 1-nm light and blue 435. 8-nm light.

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The radiation emitted by mercury vapor lamps includes green 546. 1-nm light and blue 435. 8-nm light. If this radiation passes through a transmission grating that has 600 slits/mm to form a diffraction pattern on a screen \(0.500 \mathrm{~m}\) from the grating, what are the positions of the first-order and second-order bright fringes for each wavelength? Report your answers in terms of the linear distance \(y\) from the central bright fringe.

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