vasquez (mpv244) – HW04: Atomic Theory Part II – shear – (52375)
1
This printout should have 15 questions.
Multiplechoice questions may continue on
the next column or page – fnd all choices
beFore answering.
The last six questions are on material that
will be covered in class on Tuesday. Read
section 12.15 and attempt anyhow.
001
10.0 points
In a onedimensional particle in a box, For
n
= 6, how many wavelengths equals the size
oF the box?
1.
3
correct
2.
1
3.
12
4.
2.5
5.
6
Explanation:
±or
n
= 6 the waveFunction would be
x
= 0
x
=
L
002
10.0 points
The three quantum numbers For an electron in
a hydrogen atom in a certain state are
n
= 4,
ℓ
= 1,
m
ℓ
= 1. The electron is located in
what type oF orbital?
1.
3
d
2.
4
s
3.
4
d
4.
4
p
correct
5.
3
p
Explanation:
The notation is
n
ℓ
, where
n
= 1
,
2
,
3
,
4
,
5
, ...
,
ℓ
= 0
,
1
,
2
, ...,
(
n

1)
represented as a letter:
ℓ
0
1
2
3
4
5
etc.
orbital
s
p
d
f
g
h
and
m
ℓ
=

ℓ,

(
ℓ

1)
,

(
ℓ

2)
, ...,
0
, ...,
+(
ℓ

2)
,
+(
ℓ

1)
, ℓ
.
The value oF
m
ℓ
is not needed to determine
the orbital type, as long as it is valid.
003
10.0 points
An electron in a 3
d
orbital could have which
oF the Following quantum numbers?
1.
n
= 3;
ℓ
= 2;
m
ℓ
=

3
2.
n
= 3;
ℓ
= 1;
m
ℓ
=

1
3.
n
= 3;
ℓ
= 1;
m
ℓ
= 2
4.
n
= 3;
ℓ
= 3;
m
ℓ
= 1
5.
n
= 2;
ℓ
= 2;
m
ℓ
= 6
6.
n
= 3;
ℓ
= 2;
m
ℓ
= 0
correct
7.
n
= 3;
ℓ
= 0;
m
ℓ
= 0
Explanation:
3 reFers to the principal quantum number
n
.
d
corresponds to the subsidiary quantum
number
ℓ
= 2.
Since
ℓ
= 2,
m
ℓ
could be

2
,

1
,
0
,
1 or 2.