**Question:**Calculate the shortest wavelength of the electromagnetic radiation emitted by the hydrogen atom in undergoing a transition from the n = 5 level. Report your answer in nm.**Answer Box:**[________] nm---In this problem, we are looking to calculate the shortest wavelength of light emitted when a hydrogen atom transitions from the n = 5 energy level to a lower energy level. This is related to the photon energy released during the transition, which depends on the difference in energy levels. The wavelength is inversely proportional to the energy of the emitted photon. The shortest wavelength corresponds to the transition from n = 5 to n = 1, which can be calculated using the Rydberg formula for hydrogen.

The shortest wavelength is the one which has the highest energy. Thus the shortest wavelength will be from n=5 to n=1 level. Calculation of wavelength: 1λ=R1nf2-1ni21λ=109677112-1521λ=105289.92 cm-1λ=9.49758533×10-6cmλ=94.98×10-7cm Conversion of cm into nm: 1 cm=107 nm94.98×10-7 cm=94.98×10-7×107=94.98 nm Thus the shortest wavelength of the electromagnetic radiation will be 94.98 nm.

Answered: Calculate the shortest wavelength of…

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Chemistry

Calculate the shortest wavelength of the electromagnetic radiation emitted by the hydrogen atom in undergoing a transition from the n = 5 level. Report your answer in nm.

Chemistry

10th Edition

ISBN:9781305957404

Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste

Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste

Chapter1: Chemical Foundations

Section: Chapter Questions

Problem 1RQ: Define and explain the differences between the following terms. a. law and theory b. theory and...

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