contestada

what is the wavelength of a photon that could just barely ionize a hydrogen atom with its electron in the ground state?

Respuesta :

Answer:

91.127 nm    

Explanation:

[tex] \frac{1}{\lambda}=R(\frac{1}{n_1^2}-\frac{1}{n_2^2})[/tex]

Where, R is the Rydberg's constant 10973731.6 m⁻¹.

Electron is in ground state, n₁ = 1

For hydrogen to barely ionize, n₂ = ∞

Substitute the values:

[tex] \frac{1}{\lambda}=10973731.6 m^{-1}(1-0) \Rightarrow \lambda = 91.127 nm[/tex]