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An astronomer is observing a star in the constellation of Cerberus. It appears to be a red Giant star. He passes light from his telescope

An astronomer is observing a star in the constellation of Cerberus. It appears to be a red Giant star. He passes light from his telescope through a spectroscope fitted with a diffraction grating that has 600 lines per mm.
He sees a set of spectral lines he recognises from oxygen.
One spectral line is blue with a wavelength of 400m. What is highest order of these blue lines will he see on his spectroscope?
Some of the energy states in an oxygen atom are shown below. This blue line of wavelength 400nm corresponds to a transition between which two levels?
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