Phys 202 Final Examination PROCTOR'S REMARK: 9:30-11:30 (120 minutes) January 14, 2023 Initials: Fill in Full Name, Student ID and Signature boxes. Never leave the boxes empty Full Name Student ID Signature Answers without solution steps clearly shown will not be given any credit. If your name is not legible 1 point will be taken off. Use only the space provided for your solution and follow the instructions given in each problem. PROBLEM 2 (10 Points) The nucleus of a helium atom consists of two protons and two neutrons. The Bohr model of this atom has two electrons in the same orbit around the nucleus. (a) [3 Points] Assume that each electron moves independently of the other in a ground-state Bohr orbit and calculate its ionization energy on this basis. (b) [4 Points] Use the difference between the calculated ionization energy and the measured one of 24.6 eV to find the interaction energy between the two electrons. (c) [3 Points] On the assumption that the interaction energy results from the repulsion between the electrons, find their separation. How does this compare with the radius of the orbit?

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Phys 202 Final Examination
PROCTOR'S REMARK:
9:30-11:30 (120 minutes)
January 14, 2023
Initials:
Fill in Full Name, Student ID and Signature boxes. Never leave the boxes empty
Full
Name
Student
ID
Signature
Answers without solution steps clearly shown will not be given any credit. If your name is not legible 1 point will
be taken off. Use only the space provided for your solution and follow the instructions given in each problem.
PROBLEM 2 (10 Points) The nucleus of a helium atom consists of two protons and two neutrons. The Bohr
model of this atom has two electrons in the same orbit around the nucleus.
(a) [3 Points] Assume that each electron moves independently of the other in a ground-state Bohr orbit and
calculate its ionization energy on this basis.
(b) [4 Points] Use the difference between the calculated ionization energy and the measured one of 24.6 eV to
find the interaction energy between the two electrons.
(c) [3 Points] On the assumption that the interaction energy results from the repulsion between the electrons,
find their separation. How does this compare with the radius of the orbit?
Transcribed Image Text:Phys 202 Final Examination PROCTOR'S REMARK: 9:30-11:30 (120 minutes) January 14, 2023 Initials: Fill in Full Name, Student ID and Signature boxes. Never leave the boxes empty Full Name Student ID Signature Answers without solution steps clearly shown will not be given any credit. If your name is not legible 1 point will be taken off. Use only the space provided for your solution and follow the instructions given in each problem. PROBLEM 2 (10 Points) The nucleus of a helium atom consists of two protons and two neutrons. The Bohr model of this atom has two electrons in the same orbit around the nucleus. (a) [3 Points] Assume that each electron moves independently of the other in a ground-state Bohr orbit and calculate its ionization energy on this basis. (b) [4 Points] Use the difference between the calculated ionization energy and the measured one of 24.6 eV to find the interaction energy between the two electrons. (c) [3 Points] On the assumption that the interaction energy results from the repulsion between the electrons, find their separation. How does this compare with the radius of the orbit?
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