In a ion an electron initially in the fourth orbit returns to the ground state by…

CHEMISTRY · Multi-part · CBSE · Chemistry · Structure of Atom · Structure of Atom

Problem

In a He+\mathrm{He^{+}} ion (Z=2)(Z=2) an electron initially in the fourth orbit (n=4)(n=4) returns to the ground state (n=1)(n=1) by emitting two photons in a cascade process. One of the photons has a wavelength of 164 nm164\,\text{nm}. (a) Identify the intermediate orbit (n=k)(n=k) involved in the transition that produced this photon. (b) Determine the wavelength of the second photon emitted during the subsequent transition to the ground state. (c) Calculate the ratio of the frequencies of the two photons.

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