The wavelengths involved in the spectrum of deuterium ( _1^2D ) are slightly different from that of hydrogen spectrum, because

JEE Main 2003 Physics question

The wavelengths involved in the spectrum of deuterium are slightly different from that of hydrogen spectrum, because

(1)the size of the two nuclei are different
(2)the nuclear forces are different in the two cases
(3)the masses of the two nuclei are differentCorrect
(4)the attraction between the electron and the nucleus is different in the two cases

Answer: (3)

Solution

The electron and nucleus revolve about their common centre of mass, so the Rydberg constant involves the reduced mass . Deuterium's nucleus is about twice as heavy, giving a slightly different

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Question ID VK-038129