According to the Bohr model, what is the radius of a hydrogen atom when its electron is excited to the n = 9 state? A)5.87 × 10^-¹² m B)5.29 × 10^-¹¹ m C)4.76 × 10^-¹⁰ m D)4.28 × 10^-⁹ m E)1.51 × 10^-⁸ m

Question

Quizplus · Accepted Answer

According to the Bohr model, the radius of an atom in the nth state is given by the formula: r = n²a₀/Z, where a₀ is the Bohr radius (5.29 × 10^-11 m for hydrogen) and Z is the atomic number. In this case, n = 9 and Z = 1 (for hydrogen), so the radius would be: r = 9²(5.29 × 10^-11 m)/1 = 4.28 × 10^-10 m, which corresponds to answer choice D.

According to the Bohr Model, What Is the Radius of a Hydrogen