Answer to Question #74417 in Atomic and Nuclear Physics for Deepesh Tripathi

Question

The ratio of areas within the electron orbits for the first excited state to the ground state for the hydrogen atom is

Answer 1

Radius of the n orbit rn ∝ n2.
For ground state n = 1 and for the first excited state n = 2.
Therefore
r2 / r1 = 22 / 1 = 4 / 1 = 4:1