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Question

The frequency of the first line in Lyman series in the hydrogen spectrum is v. What is the frequency of the corresponding line in the spectrum of doubly ionized Lithium ?

A
v
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B
3 v
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C
9 v
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D
27 v
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Solution

The correct option is C 9 v
The frequency of the hymon series in the hydrogen spectrum is given by,
H=2π2mk2e4Z2h3(1121n2)
Therefore, for hydrogen z=1,
H=2π2mk2e4h3(1121n2)=1
Now, for doubly ionized lithium z=3,
L=2π2mk2e4(9)h3(1121n2)=9V

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