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Hydrogen atom in ground state is excite...

Hydrogen atom in ground state is excited by a monochromatic radiation of `lambda=975"Å"`. Number of spectral lines in the resulting spectrum emitted will be

A

3

B

2

C

6

D

10

Text Solution

Verified by Experts

The correct Answer is:
C
From Rydberg formula,
`1/(lambda) =R(1/(1^2)-1/(n^2))`
`or, (1-1/n^2)=1/(lambdaR)=1/(975xx10^(-8)xx109706)=0.934`
`or, 1/n^2=1-0.934=0.065 or, n^2=15.36 or, n=3.91 ~~4`
`therefore` Number of line spectra `"^(n)C_(2)="^(4)C_(2)=6`
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