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Karnataka Board PUCPUC Science 2nd PUC Class 12

Consider two different hydrogen atoms. The electron in each atom is in an excited state. Is it possible for the electrons to have different energies but same orbital angula

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Question

Consider two different hydrogen atoms. The electron in each atom is in an excited state. Is it possible for the electrons to have different energies but same orbital angular momentum according to the Bohr model? Justify your answer.

Short/Brief Note
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Solution

No, Because according to Bohr's model, En = `13.6/"n"^2` and electrons having different energies belong to different levels having different values of n.

So, their angular momenta will be different, as

`"L" = "mvr" = ("nh")/(2pi)`

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Chapter 12: Atoms - Exercises [Page 78]

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NCERT Exemplar Physics Exemplar [English] Class 12
Chapter 12 Atoms
Exercises | Q 12.18 | Page 78

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