(a) Derive an expression for the shortest wavelength in the Lyman series of a…

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

Problem

(a) Derive an expression for the shortest wavelength λmin⁡\lambda_{\min} in the Lyman series of a hydrogen-like ion having atomic number ZZ. (b) Using the expression obtained, calculate λmin⁡\lambda_{\min} for the He+\mathrm{He}^+ ion. (c) Compute the energy of a photon of this wavelength and compare it with the corresponding value for hydrogen. Comment on the result.

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