True/False
Indicate whether the
sentence or statement is true or false.
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1. |
Planck proposed that energy is radiated in bundles he called quanta.
The energy of a single quantum is directly proportional to its wavelength.
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2. |
At
the cutoff potential, even the most energetic photoelectrons are prevented
from reaching the anode.
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3. |
For
a given photoelectric surface, the longer the wavelength of light incident
on it, the higher the cutoff potential.
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4. |
In
the Compton effect, high-energy photons strike a surface, ejecting electrons
with kinetic energy and lower-energy photons.
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5. |
Photons have momentum whose value is given by p = .
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6. |
When
light passes through a medium, its behaviour is best explained using
its particle properties, whereas when light interacts with matter, its
behaviour is best explained using its wave properties.
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7. |
The
diffraction of electrons revealed that particles have wave characteristics.
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8. |
Electrically excited gases produce a continuous spectrum,
while an emission spectrum or line spectrum is emitted from a heated
solid.
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9. |
An
atom is normally in its ground state. The excited states or energy levels
are the amounts of energy the atom can internally absorb.
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10. |
The
analysis of emission and absorption spectra confirmed that there are
discrete, well-defined internal energy levels within the atom.
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11. |
In
the atom we think of the electron as a particle moving in a circular
orbit whose wave properties predict its exact position and velocity.
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Multiple Choice
Identify
the letter of the choice that best completes the statement or answers
the question.
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12. |
In
the photoelectric effect, increasing the frequency of the light incident
on a metal surface
a. |
decreases
the threshold frequency for the emission of photoelectrons |
b. |
decreases
the number of photoelectrons emitted |
c. |
increases the threshold frequency for the emission
of photoelectrons |
d. |
increases the kinetic energy of the most energetic
photoelectrons |
e. |
does not affect the kinetic energy of the photoelectrons |
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Use Figure 1 to answer questions 13 to 15. Figure 1
shows the results of an experiment involving the photoelectric effect.
The graph shows the currents observed in the photocell circuit as a
function of the potential difference between the plates of the photocell
when light beams A, B, C, and D, each with its own wavelength, were
each directed at the photocell.
Figure
1
Graph of current versus potential
difference for four different beams of light.
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13. |
Which
of the beams of light had the highest frequency?
a. |
A |
b. |
B |
c. |
C |
d. |
D |
e. |
They all had the same frequency. |
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14. |
Which
of the beams of light had the longest wavelength?
a. |
A |
b. |
B |
c. |
C |
d. |
D |
e. |
They all had the same wavelength. |
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15. |
Which
of the beams of light ejected photoelectrons having the greatest momentum?
a. |
A |
b. |
B |
c. |
C |
d. |
D |
e. |
They all ejected photoelectrons having the same
momentum. |
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Use Figure 2 to answer questions 16 and 17. Here, electrons
of a single energy are focused into a thin pencil-like beam incident
at 90° on a very thin crystalline film of gold. On the other side
of the film, a pattern of circular rings is observed on a fluorescent
screen.
Figure
2
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16. |
This
experiment provides evidence for
a. |
the wave nature of matter |
b. |
the
high speed of electrons |
c. |
circular electron orbits around nuclei |
d. |
the
spherical shape of the gold atom |
e. |
none of these |
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17. |
If
the energy of the electrons were increased, the rings would
a. |
assume
the shape of an increasingly eccentric ellipse |
b. |
remain essentially unchanged |
c. |
become
less intense |
d. |
increase in width |
e. |
decrease
in size |
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Use Figure 3 to answer questions 18 to 20. Figure 3
shows a FranckHertz experiment performed using an accelerating
potential of 8.00 V in a tube containing mercury vapour.
Figure 3
Energy
levels for mercury
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18. |
After
passing through the gas, the electrons can have energies
a. |
of
4.86 eV and 6.67 eV only |
b. |
of
1.33 eV and 8.00 eV only |
c. |
of
0.84 eV, 2.40 eV, and 8.00 eV only |
d. |
of 3.14 eV, 1.33 eV, and 8.00 eV only |
e. |
in
a continuum of values from 0 to 8.00 eV |
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19. |
An
electron of kinetic energy 9.00 eV collides with a mercury atom that
is in the ground state. The mercury atom
a. |
can
only be excited to an energy of 8.84 eV |
b. |
can only be excited to an energy of 1.40 eV |
c. |
can
only be excited to an energy of 0.16 eV |
d. |
can be excited to any of the 4.86 eV, 6.67 eV,
or 8.84 eV energy levels |
e. |
cannot be excited by this electron |
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20. |
A
photon of energy 9.00 eV collides with a mercury atom in the ground
state. The mercury atom
a. |
can
only be excited to an energy of 8.84 eV |
b. |
can only be excited to an energy of 1.40 eV |
c. |
can
only be excited to an energy of 0.16 eV |
d. |
can be excited to any of the 4.86 eV, 6.67 eV or
8.84 eV energy levels |
e. |
cannot be excited by this photon |
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21. |
Consider
the following predictions made on the basis of the Rutherford model
of the atom:
I.
Electrons in an atom spiral into the nucleus.
II.
The nuclei of atoms scatter a particles in a Coulomb interaction.
III.
De-exciting atoms will emit light in a continuous spectrum, rather than
in a discrete set of colours.
Of
these predictions,
a. |
only
I is contradicted by observation |
b. |
only II is contradicted by observation |
c. |
only
I and II are contradicted by observation |
d. |
only I and III are contradicted by observation |
e. |
none are consistent with observations |
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For questions 22 to 24, recall that c = 3.00
108 m/s, h = 6.63
10-34
J s,
and 1 eV = 1.6
10-19
J, and assume further that the following are energy levels for a hydrogen-like
atom:
n =
... 18 eV
n = 5 ...
17 eV
n = 4 ...
15 eV
n = 3 ...
12 eV
n = 2 ...
8 eV
n = 1 ...
0 eV
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22. |
The
ionization potential of this atom is
a. |
0 V |
b. |
8 V |
c. |
10 V |
d. |
18 V |
e. |
impossible to compute from the data given |
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23. |
The
energy of the photon emitted when this atom de-excites from the state
n = 3 to the state n = 2 is
a. |
4
eV |
b. |
6
eV |
c. |
8
eV |
d. |
10
eV |
e. |
12
eV |
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24. |
An
electron of kinetic energy 10 eV bombards this atom in its ground state.
A possible value for the kinetic energy of this electron after this
interaction is
a. |
0
eV |
b. |
2
eV |
c. |
8
eV |
d. |
18
eV |
e. |
28
eV |
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