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Problem 8 Easy Difficulty

Determine the energies in eV of the (a) second and (b) third energy levels of the hydrogen atom. Calculate the orbital radius in nm of an electron in hydrogen’s (c) second and (d) third energy levels.

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Top Physics 103 Educators
LB
Liev B.

Numerade Educator

Marshall S.

University of Washington

Zachary M.

Hope College

Jared E.

University of Winnipeg

Video Transcript

question A. We have to find the energy in electoral votes off the second energy stage off the hydrogen atom. So and we have to remember that the energy of the end energy state off the hydrogen atom is given by minus 13.6. If I could buy and square so to this is in electoral votes, of course. So it too is minus 13.6 electoral votes, divided by four, which is minus 3.4 electoral votes. In a question be we have to do the same thing, but with the third energy level. So this is minus 13.6 electoral votes, divided by nine, and this is minus 1.51 electoral votes. In questions, see, we have to calculate the orbital radius of the second energy level. So remember that the orbital radius of the energy I was given by and squared times a zero where a zero is the Baridis and is given by 5.29 times 10 to the minus 11 meters. So are too is four times 5.29 time sent to the minors 11th and this is two times 2.20. I'm sorry two points, Uh, 12 times 10 to the minus 10 meters. And in question D, we have to calculate the radius of the third orbital. We'll start the orbital radius of the third area level and thats three squared nine ah times 5.29 times 10 to them on his 11th. And this is 4.76 time. Stand to the minus 10 meters. Okay, this concludes the exercise.

Universidade de Sao Paulo
Top Physics 103 Educators
LB
Liev B.

Numerade Educator

Marshall S.

University of Washington

Zachary M.

Hope College

Jared E.

University of Winnipeg