One electron travels twice as fast as another.
Which has longer wavelength?
1.
The slower one
correct
2.
The two have the same wavelength.
3.
The faster one
4.
More information is needed.
Explanation:
The twiceasfast electron has twice the mo
mentum. By de Broglie’s formula, wavelength
mittal (im5936) – EM waves and particles – yeazell – (58010)
3
is inversely proportional to momentum, so
twice the momentum means half the wave
length.
Thus the slower electron has the
longer wavelength.
006
10.0points
What is the uncertainty in the speed of a
proton if it is desired to locate its position
to within an uncertainty of
x
= 3
.
09 nm ?
Planck’s constant is 6
.
63
×
10
−
34
J
·
s and the
mass of the proton is 1
.
67
×
10
−
27
kg.
Use
the Heisenberg uncertainty principle,
∆
x
∆
p
x
≥
h
4
π
0
0

1

2

3

4

5

6

7

8
n
= 4
n
= 3
n
= 2
n
= 1
Energy (eV)
Which of the following photon energies
E
γ
could NOT be found in the emission spectra
of this atom after it has been excited to the
n
= 4 state?
Which of the following transitions will pro
×
1
3
.
09
×
10
−
9
m
=
10
.
2242 m
/
s
.
007(part1of2)10.0points
A hypothetical atom has four energy states as
shown.
duce the photon with the longest wavelength?
1.
n
= 3
to
n
= 2
2.
n
= 2
to
n
= 1
3.
n
= 3
to
n
= 1
4.
n
= 4
to
n
= 1
009(part1of3)10.0points
Consider just four of the energy levels in a
certain atom, as shown in the diagram below.
n
= 1
n
= 2
n
= 3
n
= 4
How many spectral lines will result from
all possible transitions among these levels?
Which transition corresponds to the highest
frequency light emitted?
Which transition
corresponds to the lowestfrequency?