Problem: An astronomical telescope will typically have different filters to allow the camera in the telescope to capture only specific wavelengths of light that are of interest to the user. Imagine that this telescope is constructed such that the camera is fixed in place and a diffraction grating of 25 slits/m could move laterally 2 m in front of the screen. In order to capture the first order light from an "H-alpha line" (light produced by a star at 656.28 nm), how far laterally would the grating have to be moved from the camera?

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Problem Details

An astronomical telescope will typically have different filters to allow the camera in the telescope to capture only specific wavelengths of light that are of interest to the user. Imagine that this telescope is constructed such that the camera is fixed in place and a diffraction grating of 25 slits/m could move laterally 2 m in front of the screen. In order to capture the first order light from an "H-alpha line" (light produced by a star at 656.28 nm), how far laterally would the grating have to be moved from the camera?

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