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The difference between the wave number of first line of Balmer series and last line of paschen series for Li2+ ion is

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Important Questions on Structure of Atom

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If the shortest wavelength of the Lyman series of H atom is x, then the wavelength of the first line of the Balmer series of H atom will be:
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Suppose that a hypothetical atom gives a red, green, blue and violet fine spectrum . Which jump according to figure would give off the red spectral line.

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What electron transition in the He+ spectrum would have the same wavelength as the first Lyman transition of hydrogen?
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What will be the KE of photoelectrons ejected, when a photon of 13 eV is absorbed by H-atom in the third excited state.
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What is the ratio of the wavelengths of last lines of the Balmer and Lyman series for any hydrogen-like species?
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An atom has n energy level, then the total number of lines in its spectrum are
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A certain electronic transition from an excited state to the ground state in a sample of H-atoms gives rise to maximum of three lines in the ultraviolet region of the spectrum. How many lines does this transition produce in the infrared region of the spectrum?
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What minimum number of atoms/ions should be present in a sample of H-like species, so that a maximum of 6 spectral lines can be produced of an electronic transition from the fifth excited state up to n=2?