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Question

What will the ratio of the wavelength of the first line to that of the second line of Paschen series of H atom?

A
256:175
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B
175:256
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C
15:16
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D
24:27
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Solution

The correct option is A 256:175
For single electron species,
1λ=RZ2(1n211n22)

1λ=RZ2(1n12−1n22)$
1.097×107×1For Hydrogen atom, Z = Atomic number = 1
For Paschen series,
n1=3
For first line In Paschen series, n2=4
For second line in Paschen series, n2=5
So, ratio of the wavelength of the first line to that of second line
=λ1λ2=(132152)/(132142)
λ1λ2=256175

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