You Think You Have Identified a New Type of Atom $\times$

Multiple Choice

You think you have identified a new type of atom based on its atomic emission spectrum.Based on empirical data,it appears as though the energy levels of the atom are inversely proportional to n²,like hydrogen.When an electron falls from n_initial = 5 to n_final = 2,a 1.4 $\times$ 10^-18 J photon is emitted.What is the value of the Rydberg constant for this atom?

A) 6.7 $\times$ 10^-18 J
B) 4.7 $\times$ 10^-18 J
C) 4.2 $\times$ 10^-18 J
D) 1.5 $\times$ 10¹⁷ J
E) 2.1 $\times$ 10¹⁷ J