calculate the wave number of second line in balmer series of hydrogen spectrum
Answers
Answer:
Given:-
Hydrogen Spectrum = R=1.096 × 10 ` 7 m −1
To Find:-
Wavenumber and wavelength of the second line in the Balmer series of hydrogen spectrum
Solution:-
For Balmer series n1 = 2 , for third line n2 = 3, for fourth line n2 = 4
Wavenumber vector V of the third line -
V3 - 2 = R [ 1/n1 - 1/n2]
= 1.096 x 10`7 [ 1/2² - 1/3² ]
= 1.096 x 10`7 [ 1/4 - 1/9 ]
= 1.096 x 10`7 x 5/36
= 1.5236 x 106m`-1
= 36/ 1.096 x 10`7 x 5
= 656.3 x 10`-9m
= 656.3nm
Now, wavelength of Ha line
λ = 656.3nm
For Hb line n2 = 4
Thus,
R = 10.97 x 106 ( 1/2² -1/4²)
= 10.97 x 10`6 x 3/16
= 2.0568 x 10`6
λ = 16/10.97 x 10`6 x 3
Answer: Wavelength is 656.3nm and wavenumber is 16/10.97 x 10`6 x 3m
Answer:
The wave number for the second line of H- atom of Balmer series is 20564.43 cm-1 and for limiting line is 27419 cm-1.
Step-by-step explanation:
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