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Question

The ratio of wavelengths of photons corresponding to the β - line of Lyman series in H - atom and α - line of Balmer series in Li2+ is:

A
45:32
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B
9:10
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C
32:45
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D
3:16
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Solution

The correct option is A 45:32
In Lyman series, n1=1 and beta line corresponds to n2=3
Balmer line for Li2+, so Z=3,n1=2 and alpha line means n2=3
we know,
1λ=RHZ2{1n211n22}

1λLyman=RH{119}
λLyman=98RH

1λBalmer=RH×9{1419}
λBalmer=45RH

λLymanλBalmer=98RH45RH=4532=45:32

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