Atomic StructureHard
Question
Out of the following which one is not a possible energy for a photon to be emitted by hydrogen atom according to Bohr′s atomic model?
Options
A.0.65 eV
B.1.9 eV
C.11.1 eV
D.13.6 eV
Solution
The energy of nth orbit of hydrogen atom is given as
En = -
∴ E1 = - 13.6 eV
E2 = -
= - 3.4 eV
E3 = -
= - 1.5 eV
E4 = -
= - 0.85 eV
∴ E3 - E2 = - (1.5) - (- 3.4) = 1.9 eV
E4 - E3 = -(0.85) - (-1.5) = 0.65 eV
En = -

∴ E1 = - 13.6 eV
E2 = -
= - 3.4 eVE3 = -
= - 1.5 eVE4 = -
= - 0.85 eV∴ E3 - E2 = - (1.5) - (- 3.4) = 1.9 eV
E4 - E3 = -(0.85) - (-1.5) = 0.65 eV
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