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The electron in hydrogen atom is in the ...

The electron in hydrogen atom is in the first Bohr orbit `(n = 1)`. The ratio of transition energies, `E(n-1 rarr n =3)` to `E(n=1 rarr n=2)`, is-

A

32/27

B

16/27

C

32/9

D

`8//9`

Text Solution

Verified by Experts

The correct Answer is:
A

`DeltaE=13.6 (1/n_(1)^(2)-1/n_(2)^(2))eV//"atom" , (DeltaE_(1 rarr 3))/(DeltaE_(1 rarr 2))=(1/1^(2)-1/3^(2))/(1/1^(2)-1/2^(2))=.32/27`
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