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Question

The ionization potential of the ground state of a hydrogen atom is 2.17×1011 ergs per atom. What would be the wavelength of a photon that is emitted when an electron from the 3rd Bohr orbit returns to the 1st orbit in the hydrogen atom?


Your Answer
A
1370 oA
Your Answer
B
2737 oA
Correct Answer
C
1026 oA
Your Answer
D
8212 oA

Solution

The correct option is C 1026 oA
Given ionization potential is,
E=2.17×1011 ergs per atom
   =2.17×1018 Jatom1
ΔE=E3E1=2.17×1018(191)        =1.93×1018 Jatom1
Again,
ΔE=hcλ
λ=6.6×1034×3×1081.93×1018       =10.26×108 m=1026 oA

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