In the spectrum of singly-ionised helium ( )

CHEMISTRY · Subjective · CBSE · Chemistry · Structure of Atom · Structure of Atom

Problem

In the spectrum of singly-ionised helium (He+\text{He}^+), consider all possible transitions that end at the orbit with principal quantum number n=3n=3. The highest populated orbit involved in these transitions is n=7n=7. (i) Calculate the longest wavelength that can appear among these lines. (ii) State whether this wavelength lies in the ultraviolet, visible, or infrared region of the electromagnetic spectrum. Use RHe+=4RHR_{\text{He}^+} = 4R_H and RH=1.097×107 m−1R_H = 1.097\times10^{7}\,\text{m}^{-1}.

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