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Question

Hydrogen atom in ground state is excited by a monochromatic radiation of λ=975 oA. Number of spectral lines in the resultant spectrum emitted will be

A
3
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B
2
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C
6
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D
10
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Solution

The correct option is C 6
Given λ=975×1010 m
Energy of emitted radiation is
E=hcλ
E=6.63×1034×3×108975×1010×1.6×1019

E=12.75 eV

It jumps to n=4 because the energy difference between the n=1 and n=4 is 12.75 eV
So, number of spectral lines emitted will be
n(n1)2=4(41)2=6

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