A Rydberg atom is a single-electron atom with a large quantum number n. Rydberg states are close together in energy, so transitions between from a state `n + 1` to a state n in hydrogen. The wavelength of the emitted photon varies with quantum number n as

Options

A. `(1)/(n^(2))`
B. `n`
C. `(1)/(n^(3))`
D. `n^(3)`

Answer

D

Explanation

`hv = E_(n +1) - E_(n) = E_(0) ((1)/(n^(2)) - (1)/((n + 1)^(2))) ~~ (E_(0)2n)/(n^(4))`, for large n.