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Which transition emits a photon of maximum frequency in hydrogen-like species?

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Important Questions on Structure of Atom

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The shortest λ for the Brackett series for H is:  Given RH=109678cm-1
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Wavelength of 1st  line of Balmer series in hydrogen spectrum is:
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When an electron in an excited hydrogen atom jumps 5th orbit to 3rd orbit the spectral line is observed in the ......... region and in ......... series of the hydrogen spectrum.
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Number of the visible lines when the electron returns from 5th orbit to ground state in H spectrum is 
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What will be the maximum number of spectral lines in Lyman series, if electron makes transition from nth orbit?
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In an isolated H-atom, electron transits from 6th orbit to 2nd orbit, maximum number of spectral lines will be
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The wave number of the first line of the Balmer series of a hydrogen atom is 15200 cm-1. What is the wave number of the first line of the Balmer series of Li2+ ion:
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Calculate the number of possible spectral lines which may be emitted in Brackett series in H-atom, if electrons present in 9th excited level returns to ground level.