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Question

The limiting line of Paschen series of H atom will have a frequency equal to:
R=1.097×107 m1

A
3.65×1014 Hz
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B
3.65×1016 Hz
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C
4.95×1017 Hz
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D
3.63×1012 Hz
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Solution

The correct option is A 3.65×1014 Hz
The limiting line will be the shortest line in the Paschen series. It is observed when an electron drops from an orbit with n= to an orbit with n=3.

Wave length of this line is given by:
1λ=R(1n121n22)

Given:
R=1.097×107 m1
Substituting the values of n and R we get:
1λ=1.097×107×(13212)λ=8.20×107m1
So c = νλ
where ν = frequency of the transition
ν = 3×1088.20×107 = 3.65×1014 Hz

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