Answer:
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<span>Ni = 5
The Rydberg formula for hydrogen is
1/w = R(1/a^2 - 1/b^2)
where
w = wavelength in vacuum
R = Rydberg constant 1.0973731568508x10^7 1/m
a,b = integers greater than or equal to 1 and a < b
Now we need to select the value for a.
a = 1 will converge towards 91.13 nm
a = 2 converges towards 364.51 nm
a = 3 converges towards 820.14 nm
...
Because of this, we will assume a = 1 for this problem since it converges closest to the wavelength given.
Substitute known values
1/w = R(1/a^2 - 1/b^2)
1/9.504x10^-8 = 1.0973731568508x10^7(1/1^2 - 1/b^2)
10521885.52 = 1.0973731568508x10^7(1/1 - 1/b^2)
0.958824759 = 1 - 1/b^2
-0.041175241 = -1/b^2
0.041175241 = 1/b^2
24.28643927 = b^2
4.928127359 = b
So Ni = 5.</span>
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