Question

Imagine an atom made up of a proton and a hypothetical particle of double the mass and double the charge of the electron. Apply the Bohr’s atomic model and consider all possible transitions of this hypothetical atom. The ratio of the shortest wavelength photon that will be emitted by the hydrogen atom to that of
hypothetical atom is

• A. 2
• B. 4
• C. 32
• D. 8

Answer 1

The correct option is D 8

Redberg constant $R=\frac{m{e}^2{e}^2}{8{ϵ}_{0}c{h}^3}$
For hypothetical atom, $R^1=\frac{\left(2m\right)e^2(2e{)}^2}{8{ϵ}_{0}c{h}^3}=8R$;
For shortest wavelength: $n_1=1\&n_2=\infty =\frac{8R}{R}=8$