Question

a ground state hydrogen atom absorbs a photon of light having a wavelength of 92.05 nm.92.05 nm. it then gives off a photon having a wavelength of 379.7 nm.379.7 nm. what is the final state of the hydrogen atom? values for physical constants can be found in the chempendix.

Answer 1

The final state of the hydrogen atom is ground state after the emission of the photons.

The given parameters;

wavelength of the photon absorbed, λ₁ = 92.05 nm = 92.05 x 10⁻⁹ m

wavelength of the photon emitted, λ₂ = 1736 nm = 1736 x 10⁻⁹ m

The change in the energy of the photon is calculated as follows;

ΔE = hf₂ - hf₁

The new energy level is calculated as follows using Borh's model;

Thus, the final state of the hydrogen atom is ground state after the emission of the photons.

Step-by-step explanation: