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Q.

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?

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a

0.65 eV

b

11.1 eV 

c

13.6 eV

d

1.9 eV

answer is C.

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Detailed Solution

The energy of nth orbit of hydrogen atom is given as

En=-13.6n2eV     

 E1=-13.6 eV

 E2=-13.622=-3.4 eV      E3=-13.632=-1.5 eV

E4=-13.642=-0.85 eV

 E3-E2=-1.5--3.4=1.9 eV

E4-E3=-0.85--1.5=0.65 eV

E4-E1=-0.85+13.6=12.75 eV

hence, 11.1 eV energy of photon is not possible.

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