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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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Important Questions on Structure of Atom

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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?
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A particle X, moving with a certain velocity has a de-Broglie wavelength of 1Å. If a particle Y has a mass of 25% and velocity of 75% that of X, de-Broglie's wavelength of Y will be
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The number of de Broglie waves formed in the fourth orbit of H are
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Calculate the de Broglie wavelength of an electron in the ground state of the hydrogen atom, given that its kinetic energy is 13.6 eV. Mass of electron=9.1×10-31kg, charge on electron=1.6×10-19C