A sample of hydrogen atoms containing all the atoms in a particular excited state absorb radiations of a particular wavelength by which the atoms get excited to another excited state. Then they emit the radiations of 10 different wavelengths on coming to ground level. Out of these 10 radiations, 7 have wavelengths shorter than the absorbed radiation and 2 have wavelength longer than the absorbed radiation. The orbit number for the initial excited state of atoms is
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(3)
Final excited state 
orbit
As only the wavelengths are longer than absorbed radiation initial excited state 
orbit
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