Essential University Physics: Volume 2 (3rd Edition)
3rd Edition
ISBN: 9780321976420
Author: Richard Wolfson
Publisher: PEARSON
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Question
Chapter 36, Problem 14E
To determine
Verify thee numerical values of Bohr radius and ground state energy of hydrogen.
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Question in photo
In the relativistic treatment of the hydrogen atom (excluding QED), the 251/2 and 2P1/2 levels are found to be degenerate. Which of the
following best describes why?
Select an answer and submit. For keyboard navigation, use the up/down arrow keys to select an answer.
a The degeneracy is a result of the rotational symmetry of the H-atom
b
d
e
The Darwin and spin-orbit terms exactly cancel for both levels
Each individual contribution (mass-velocity, Darwin and spin-orbit) to the splitting only depend on the total angular momentum
quantum number j
The mass-velocity and Darwin terms exactly cancel for both levels
The degeneracy is due to a subtle symmetry of a 1/r potential when n = 1 and would no longer be the case for other n.
Problem 7: The electric potential near a hydrogen atom can
be modeled as the equation to the right where ao is the Bohr
radius and q is the charge on the central proton.
V (r)
exp(- 2r/a,)(1 +a/r)
Randomized Variables
m = 2
n = 3
Part (a) Find an expression for the 0-component of the electric field, Eg.
Numeric : A numeric value is expected and not an expression.
Eg =
Part (b) Find an expression for the o-component (azimuthal) of the electric field, Eo
Expression :
Select from the variables below to write your expression. Note that all variables may not be required.
a, B, 0, a, b, c, d, g, h, j, k, m, P, S, t
Part (c) What is the change in the magnitude of the electric field (in N/C) if a test point moves from the position (x = m²ao, y
= 0, z = 0) to position (x = n-ao, y = 0, z = 0).
Numeric : A numeric value is expected and not an expression.
ΔΕ Ξ
Chapter 36 Solutions
Essential University Physics: Volume 2 (3rd Edition)
Ch. 36.1 - Prob. 36.1GICh. 36.2 - Prob. 36.2GICh. 36.3 - Prob. 36.3GICh. 36.4 - Prob. 36.4GICh. 36.5 - Prob. 36.5GICh. 36 - Prob. 1FTDCh. 36 - Prob. 2FTDCh. 36 - Prob. 3FTDCh. 36 - Prob. 4FTDCh. 36 - Prob. 5FTD
Ch. 36 - Prob. 6FTDCh. 36 - Prob. 7FTDCh. 36 - Prob. 8FTDCh. 36 - Prob. 9FTDCh. 36 - Prob. 10FTDCh. 36 - Prob. 11FTDCh. 36 - Prob. 12FTDCh. 36 - What distinguishes a Bose-Einstein condensate from...Ch. 36 - Prob. 14ECh. 36 - Prob. 15ECh. 36 - Prob. 16ECh. 36 - Prob. 17ECh. 36 - Prob. 18ECh. 36 - Prob. 19ECh. 36 - Prob. 20ECh. 36 - Prob. 21ECh. 36 - Prob. 22ECh. 36 - Prob. 23ECh. 36 - Prob. 24ECh. 36 - Prob. 25ECh. 36 - Prob. 26ECh. 36 - Prob. 27ECh. 36 - Prob. 28ECh. 36 - Prob. 29ECh. 36 - Prob. 30ECh. 36 - Prob. 31ECh. 36 - Prob. 32ECh. 36 - Prob. 33ECh. 36 - Prob. 34PCh. 36 - Prob. 35PCh. 36 - Prob. 36PCh. 36 - Prob. 37PCh. 36 - Prob. 38PCh. 36 - Prob. 39PCh. 36 - Prob. 40PCh. 36 - Prob. 41PCh. 36 - Prob. 42PCh. 36 - Prob. 43PCh. 36 - Prob. 44PCh. 36 - Prob. 45PCh. 36 - Prob. 46PCh. 36 - Prob. 47PCh. 36 - Prob. 48PCh. 36 - Prob. 49PCh. 36 - Prob. 50PCh. 36 - Prob. 51PCh. 36 - Prob. 52PCh. 36 - Prob. 53PCh. 36 - Prob. 54PCh. 36 - Prob. 55PCh. 36 - Prob. 56PCh. 36 - Prob. 57PCh. 36 - Prob. 58PCh. 36 - Prob. 59PCh. 36 - Prob. 60PCh. 36 - Prob. 61PCh. 36 - Prob. 62PCh. 36 - Prob. 63PCh. 36 - Prob. 64PCh. 36 - Prob. 65PCh. 36 - Prob. 66PCh. 36 - Prob. 67PCh. 36 - Prob. 68PCh. 36 - Prob. 69PCh. 36 - Prob. 70PCh. 36 - Prob. 71PCh. 36 - Prob. 72PCh. 36 - Prob. 73PCh. 36 - Prob. 74PCh. 36 - Prob. 75PCh. 36 - Prob. 76PPCh. 36 - Prob. 77PPCh. 36 - Prob. 78PPCh. 36 - Prob. 79PP
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