Fundamentals of Physics
10th Edition
ISBN: 9781118230732
Author: David Halliday
Publisher: WILEY
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Chapter 40, Problem 10P
To determine
To calculate:
For an electron in a state n=3
(a) the number of possible values of l.
(b) the number of possible value of ml.
(c) the number of possible value of ms.
(d) the number of states in n=3 shell.
(e) the number of possible subshells in n=3.
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An electron is in a state with n = 3.What are (a) the number of possible values of , (b) the number of possible values of ML , (c) the number of possible values of ms, (d) the number of states in the n = 3 shell, and (e) the number of subshells in the n = 3 shell?
Find the width L of a one-dimensional box for which n=4 level would
correspond to the absolute value of the n=3 state of a hydrogen
atom.
a)
L = 2.66 × 10° m
b) L=2.00 x 10 8
т
c)
L= 1.99 × 10 4 m
10
d)
L= 1.66 × 10 m
6-
e)
L = 2.00 × 10° m
H-atom. The wave function of one of the electrons in the 2p orbital is given by (ignoring spin)
r
2,1,0 (1,0,0)=
- 7 exp(-270) c
ao
1
|32πα
cose
Where do is the Bohr radius. In the Bohr model, the radius of the electron orbit is given by m=2 =
n²ao = 4ao. The probability that the electron can be found at some radius between r and r + dr is
given by
2π
P(r) dr = √2
= √ ₁²ª d$ S ²
What is the expectation value of the distance of the electron from the nucleus (r)?
Clue: expected value is computed by (r) = forP(r) dr then do integration by parts
do sin 0 de | Yn.l.m² (r, $,0)|²r² dr
Chapter 40 Solutions
Fundamentals of Physics
Ch. 40 - Prob. 1QCh. 40 - Prob. 2QCh. 40 - Prob. 3QCh. 40 - Prob. 4QCh. 40 - Prob. 5QCh. 40 - Prob. 6QCh. 40 - Prob. 7QCh. 40 - Figure 40-22 shows three points at which a spin-up...Ch. 40 - Prob. 9QCh. 40 - Prob. 10Q
Ch. 40 - Prob. 11QCh. 40 - Prob. 12QCh. 40 - Prob. 13QCh. 40 - Prob. 14QCh. 40 - Prob. 1PCh. 40 - Prob. 2PCh. 40 - Prob. 3PCh. 40 - Prob. 4PCh. 40 - Prob. 5PCh. 40 - Prob. 6PCh. 40 - Prob. 7PCh. 40 - Prob. 8PCh. 40 - Prob. 9PCh. 40 - Prob. 10PCh. 40 - Prob. 11PCh. 40 - Prob. 12PCh. 40 - SSM What is the acceleration of a silver atom as...Ch. 40 - Prob. 14PCh. 40 - Prob. 15PCh. 40 - Assume that in the SternGerlach experiment as...Ch. 40 - Prob. 17PCh. 40 - Prob. 18PCh. 40 - Prob. 19PCh. 40 - Prob. 20PCh. 40 - Prob. 21PCh. 40 - Prob. 22PCh. 40 - Prob. 23PCh. 40 - Prob. 24PCh. 40 - Prob. 25PCh. 40 - Prob. 26PCh. 40 - Prob. 27PCh. 40 - Show that the number of states with the same...Ch. 40 - Prob. 29PCh. 40 - For a helium atom in its ground state, what are...Ch. 40 - Prob. 31PCh. 40 - Prob. 32PCh. 40 - Prob. 33PCh. 40 - Prob. 34PCh. 40 - Prob. 35PCh. 40 - Prob. 36PCh. 40 - Prob. 37PCh. 40 - Prob. 38PCh. 40 - Prob. 39PCh. 40 - Prob. 40PCh. 40 - Prob. 41PCh. 40 - Prob. 42PCh. 40 - Prob. 43PCh. 40 - Prob. 44PCh. 40 - Prob. 45PCh. 40 - Prob. 46PCh. 40 - Prob. 47PCh. 40 - Prob. 48PCh. 40 - Prob. 49PCh. 40 - Prob. 50PCh. 40 - Prob. 51PCh. 40 - Prob. 52PCh. 40 - Prob. 53PCh. 40 - Prob. 54PCh. 40 - Prob. 55PCh. 40 - Prob. 56PCh. 40 - Prob. 57PCh. 40 - Prob. 58PCh. 40 - Prob. 59PCh. 40 - Prob. 60PCh. 40 - Prob. 61PCh. 40 - Prob. 62PCh. 40 - Prob. 63PCh. 40 - Prob. 64PCh. 40 - Prob. 65PCh. 40 - Prob. 66PCh. 40 - Prob. 67PCh. 40 - Prob. 68PCh. 40 - Prob. 69PCh. 40 - Prob. 70PCh. 40 - Prob. 71PCh. 40 - Prob. 72PCh. 40 - Prob. 73PCh. 40 - Prob. 74PCh. 40 - Prob. 75PCh. 40 - Prob. 76PCh. 40 - Prob. 77PCh. 40 - Prob. 78PCh. 40 - Prob. 79P
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- Suppose two electrons in an atom have quantum numbers n= 2 and L=1 . (a) How many states are possible for those two electrons? (Keep in mind that the electrons are indistinguishable.) (b) If the Pauli exclusion principle did not apply to the electrons, how many states would be possible?arrow_forwardAn electron in an atom is in a state with / = 4. What is the minimum angle between L (angular momentum vector) and the z-axis?arrow_forwardWhich of the following is a permissable set of quantum numbers for an electron in a hydrogen atom? The atom may be in an excited state (ie. the electron need not be in its ground state). a) n = 6, l = -5, ml = +4, ms = +1/2 b) n = 4, l = -2, ml = +2, ms = -1/2 c) n = 2, l = 2, ml = +1, ms = -1/2 d) n = 5, l = 1, ml = -1, ms = +1/2 e) n = 3, l = 2, ml = -2, ms = -1arrow_forward
- Given an electron in the n=4 state of a hydrogen atom. What values would you get for m_l (Azimuthal part: magnetic quantum number) when l = 0,1,2,3.arrow_forwardTwo electrons in the same atom have n = 3 and l = 1. (a) List the quantum numbers for the possible states of the atom. (b) How many states would be possible if the exclusion prin- ciple did not apply to the atom?arrow_forwardThe quantum-mechanical model for the hydrogen atom uses several quantum numbers to describe various properties of the atom's electron-properties that collectively describe the state of the atom. (a) When the principal quantum number is n = 4, for a hydrogen atom, how many different values can the orbital quantum number, {, assume? 2 3 4 5 (b) When the principal quantum number is n = 4, for a hydrogen atom, how many different values can be held by the orbital magnetic quantum number, m,? (Assume that the orbital quantum number l is at its largest allowable value for an atom with n = 4.) 6 8 9arrow_forward
- Two electrons in the same atom have n = 3 and ℓ = 1. (a) List the quantum numbers for the possible states of the atom. (b) How many states would be possible if the exclusion principle did not apply to the atom?arrow_forwardA certain atom has an electron in the n=4 state with m=1. What is the minimum possible value of l?arrow_forwardThe magnitude of the orbital angular momentum in an excited state of hydrogen is 6.84 × 10-34 J ·s and the z com- ponent is 2.11 x 10-3ª J ·s. What are all the possible values of n, l, and mẹ for this state?arrow_forward
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