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]