In a particular Bohr orbit for an electron in a He+ ion, the total energy is -6.044 eV. What is the kinetic and potential energy for the electron in this orbit?

What is the ionization energy to completely remove the electron from this orbit?

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tutor123Lv1

2 Jun 2021

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A sodium atom (Z = 11) contains 11 protons in its nucleus. Strictlyspeaking, the Bohr model does not apply, because the neutral atomcontains 11 electrons instead of a single electron. However, we canapply the model to the outermost electron as an approximation,provided that we use an effective value Zeffective rather than 11for the number of protons in the nucleus. (a) The ionization energyfor the outermost electron in a sodium atom is 5.1 eV. Use the Bohrmodel with Z = Zeffective to calculate a value for Zeffective. (b)Using Z = 11, determine the corresponding value for the radius r ofthe outermost Bohr orbit. (c) Using the value calculated forZeffective in part (a), determine the corresponding radius r of theoutermost Bohr orbit.

An electron is in the nth Bohr orbit of the hydrogen atom.

(a) Show that the period of the electron is

and determine the numerical value of to.

(b) On average, an electron remains in the n=2 orbit for approximately 10 microseconds before jump down to n= 1 orbit. How many revolutions does the electron make in the excited state?

(c) Define the period of one revolution as a one-electron year, analogous to an earth year is the period of the earth's motion around the sun. Explain whether we should think of the electron in n=2 orbit "as living for a long time"