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Example 3 Find the Wavelength Emitted by a Helium Ion He^+ During the Transition of Electron from the Second Energy Level to the First

Вопрос

Example 3 Find the wavelength emitted by a helium ion He^+ during the transition of electron from the second energy level to the first (jum)

Решения

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Ответ

To find the wavelength emitted by a helium ion during the transition of an electron from the second energy level to the first, we can use the Rydberg formula: where:- is the wavelength of the emitted light,- is the Rydberg constant ( ),- and are the principal quantum numbers of the lower and higher energy levels, respectively.For the transition from the second energy level ( ) to the first energy level ( ), we have: Now, we can solve for : Substituting the value of the Rydberg constant: Therefore, the wavelength emitted by a helium ion during the transition of an electron from the second energy level to the first is approximately 292 nm.