A positronium "atom" is a system that consists of a positron and an electron that orbit each other. Campare the wavelengths of the spectral lines of positronium with those of ordinary hydrogen.

Options

A. `2:1`
B. `1:1`
C. `2:3`
D. `4:1`

Answer

A

Explanation

(a) Hero the two particle have same mass 'm' `mu=(m_(1)m_(2))/(m_(1)+m_(2))=m^(2)/(2m)=m/2`
Hero m=electron mass `E_(n) alpham(E^(1)n)/E_(n)=mu/m=(m/2)/m=1/2`
i.e, energy of each level is halved therefore their difference will also be halved henced `lambda^(1)n=2lambda_(n)`