Question

The radius of theinnermost electron orbit of a hydrogen atom is 5.3 ×10⁻¹¹m. What are the radii of the n = 2 and n =3 orbits?

Answer 1

The radius of theinnermost orbit of a hydrogen atom, r₁ = 5.3 ×10⁻¹¹ m.

Let r₂be the radius of the orbit at n = 2. It is related to theradius of the innermost orbit as:

For n = 3, wecan write the corresponding electron radius as:

Hence, the radii of anelectron for n = 2 and n = 3 orbits are 2.12 ×10⁻¹⁰ m and 4.77 × 10⁻¹⁰ mrespectively.