The higher level that the electron reached from ground state is; n = 5.
The fixed distances from an atom's nucleus where electrons may be found are referred to as energy levels (also known as electron shells).
Higher energy electrons have greater energy as you move out from the nucleus.
A region of space within an energy level known as an orbital is where an electron is most likely to be found.
Given: Wavelength of the photon absorbed by ground state H atoms; λ_g = 94.91 nm = 94.91 × 10⁻⁹ m
The formula to get the higher level is Rydberg's formula;
1/λ = R(1/n₁² - 1/n₂²)
where;
R is rydberg constant = 1.097 × 10⁷ m⁻¹
Thus;
[tex]\frac{1}{34.91*10^{-9}} =1.097*10^{-7}(\frac{1}{1^{2}}-\frac{1}{n_{2}^{2}})\\ 0.9605=1- \frac{1}{n_{2}^{2}}\\\frac{1}{n_{2}^{2}}=1-0.9605\\\frac{1}{n_{2}^{2}}=0.0395[/tex]
n₂ = √(1/0.0395)
n₂ ≈ 5
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