Sol::
Given:
Wavelength (λ) = 4.653*10^-6 m
Level nf = 5
Rydberg constant(R) = 1.09*10^-7 m
ni = ?
We have
1/λ = R(1/nf² - 1/ni²)
rearranging it we get
ni = √[1/(1/nf² - 1/λR)]
= √[1/(1/25-1/(4.653*10^-6)(1.097*10^7)]
= 6.999
≈ 7
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