Question

N the Bohr model, the ground state (n=1) hydrogen atom has energy -13.6 eV. What is the energy of the state corresponding to

(n=4)?
a) -3.4 eV
b) -1.7 eV
c) -0.85 eV
d) -0.425 eV

Answer 1

Using the Bohr model, the energy of the state corresponding to n=4 for a hydrogen atom is calculated as c) -0.85 eV.

Step-by-step explanation:

To determine the energy of the state corresponding to n=4 for a hydrogen atom using the Bohr model, we use the formula for the energy levels of a hydrogen atom, which is En = -13.6 eV/n². Inserting n=4 into this equation we get:

En = -13.6 eV/4² = -13.6 eV/16 = -0.85 eV

Therefore, the energy of the state corresponding to n=4 in a hydrogen atom is -0.85 eV, which aligns with option c).