Bohr Atom: Light Shines Through Atomic Hydrogen Gas

Multiple Choice

Bohr atom: Light shines through atomic hydrogen gas. It is seen that the gas absorbs light readily at a wavelength of 91.63 nm. What is the value of n of the level to which the hydrogen is being excited by the absorption of light of this wavelength? Assume that the most of the atoms in the gas are in the lowest level. (h = 6.626 × 10^-34 J ∙ s, c = 3.00 × 10⁸ m/s, 1 eV = 1.60 × 10^-19 J; the Rydberg constant is R = 1.097 × 10⁷ m^-1.)

A) 14
B) 16
C) 11
D) 21