Question 1

We know that the Schrödinger equation is specifically an equation for EEFs because

Accepted Answer

A)  Quantons quickly settle down into EEFs. 
B)  A bound quanton can only exist in an EEF. 
C)  We derived it assuming that $E$ had a definite value. 
D)  It is a generalization of the de Broglie relation. 
E)  Some other reason (specify). 
A)  Quantons quickly settle down into EEFs. 
B)  A bound quanton can only exist in an EEF. 
C)  We derived it assuming that $E$ had a definite value. 
D)  It is a generalization of the de Broglie relation. 
E)  Some other reason (specify). C

Question 2

If the two slits in a two-slit interference experiment are so far apart that their diffraction patterns do not overlap, the pattern displayed is consistent with a particle model of light.

Accepted Answer

A) True 
 B)False  True

Question 3

A sinusoidal wave's angular frequency is (A) larger, (B) smaller, or (C) the same as its frequency in cycles/s.

Accepted Answer

A)  Large 
B)  Smaller 
C)  The same as its frequency in cycles/s. 
A)  Large 
B)  Smaller 
C)  The same as its frequency in cycles/s. A

Question 4

${ }_{35}^{79} \mathrm{Br}$ has an atomic mass of $78.918336 \mathrm{u}$, and ${ }_{.36}^{79} \mathrm{Kr}$ has an atomic mass of $78.920084 \mathrm{u}$. Which is the correct decay process (or the likeliest if more than one is possible)?

Accepted Answer

A)  ${ }^{79} \mathrm{Kr} \rightarrow{ }^{79} \mathrm{Br}+v$ 
B)  ${ }^{79} \mathrm{Kr} \rightarrow{ }^{79} \mathrm{Br}+\mathbf{e}^{-}+\bar{v}$ 
C)  ${ }^{79} \mathrm{Kr} \rightarrow{ }^{79} \mathrm{Br}+e^{+}+v$ 
D)  ${ }^{79} \mathrm{Br} \rightarrow{ }^{79} \mathrm{Kr}+e^{-}+\bar{v}$ 
E)  ${ }^{79} \mathrm{Br} \rightarrow{ }^{79} \mathrm{Kr}+e^{+}+v$ 
A)  ${ }^{79} \mathrm{Kr} \rightarrow{ }^{79} \mathrm{Br}+v$ 
B)  ${ }^{79} \mathrm{Kr} \rightarrow{ }^{79} \mathrm{Br}+\mathbf{e}^{-}+\bar{v}$ 
C)  ${ }^{79} \mathrm{Kr} \rightarrow{ }^{79} \mathrm{Br}+e^{+}+v$ 
D)  ${ }^{79} \mathrm{Br} \rightarrow{ }^{79} \mathrm{Kr}+e^{-}+\bar{v}$ 
E)  ${ }^{79} \mathrm{Br} \rightarrow{ }^{79} \mathrm{Kr}+e^{+}+v$

Question 5

A beam of light $P$ has twice the wavelength but the same intensity as beam $Q$. The number of photons that hit a given area in a given time when it is illuminated by beam $P$ is (A) twice, (B) the same, or (C) one-half of the number that hit when the area is illuminated by beam $Q$ ?

Accepted Answer

A)  Twice} 
B)  The Same 
C)  One-half of the number that hit 
A)  Twice} 
B)  The Same 
C)  One-half of the number that hit

Question 6

The function $e^{-i \theta}=1 / e^{i \theta}$.

Accepted Answer

A) True 
 B)False

Question 7

What is the effect of adding some boron on how easily a silicon crystal conducts electricity?

Accepted Answer

A)  The crystal becomes more conductive. 
B)  The crystal becomes less conductive. 
C)  The boron creates new energy levels for electrons but does not change the crystal's conductivity. 
A)  The crystal becomes more conductive. 
B)  The crystal becomes less conductive. 
C)  The boron creates new energy levels for electrons but does not change the crystal's conductivity.

Question 8

Creating a quanton in a superposition of an observable's eigenvectors and then determining that observable's value is entirely analogous to putting a coin in a can, shaking the can, and then revealing the coin.

Accepted Answer

A) True 
 B)False

Question 9

Violet light with a wavelength of $430 \mathrm{~nm}$ falls on a sodium plate $(W=2.75 \mathrm{eV})$ and a potassium plate $(W=$ $2.30 \mathrm{eV})$. Which of of the following statements is true?

Accepted Answer

A)  Both plates emit electrons, but those emitted by the sodium plate have the larger kinetic energy. 
B)  Both plates emit electrons, but those emitted by the potassium plate have the larger kinetic energy. 
C)  Only the sodium plate emits electrons. 
D)  Only the potassium plate emits electrons. 
E)  Neither plate emits electrons. 
A)  Both plates emit electrons, but those emitted by the sodium plate have the larger kinetic energy. 
B)  Both plates emit electrons, but those emitted by the potassium plate have the larger kinetic energy. 
C)  Only the sodium plate emits electrons. 
D)  Only the potassium plate emits electrons. 
E)  Neither plate emits electrons.

Question 10

Consider a system consisting of two Einstein solids P and Q in thermal contact. Assume that we know the number of atoms in each solid and ?. What do we know about the system if we also know the quantum state of each atom in each solid?
A. Its macrostate
B. Its microstate
C. Its macropartition
D. Its microstate and macropartition
E. Its macrostate and macropartition
F. Its macrostate and microstate
T. Its macrostate, microstate, and macropartition

Accepted Answer

A) True 
 B)False

Question 11

Sunlight falling on a spaceship in a vacuum will cause the spaceship to become a bit positively charged.

Accepted Answer

A) True 
 B)False

Question 12

Two stretched strings with the same length but different tensions are both resonating at the same frequency. Which string has the greater number of antinodes?

Accepted Answer

A)  The string with the larger tension. 
B)  The string with the smaller tension. 
C)  Both must have the same number of antinodes. 
A)  The string with the larger tension. 
B)  The string with the smaller tension. 
C)  Both must have the same number of antinodes.

Question 13

We can use the computer method to generate a numerical solution to Schrödinger's equation for a bound quanton with any energy $E$.

Accepted Answer

A) True 
 B)False

Question 14

To create an interference pattern, a quanton beam's de Broglie wavelength must be larger than an individual quanton.

Accepted Answer

A) True 
 B)False

Question 15

Consider the experimental evidence we have discussed in the past few chapters. Classify the following experimental results according to the following scheme: For the quantons in question, the results:
- When light goes through a slit, the beam broadens somewhat, and if it is projected on a screen, one can see bright and dark fringes on the slit image.

Accepted Answer

The answer of Consider the experimental evidence we have discussed...

Question 16

Consider a beam of free particles that each have a certain (nonrelativistic) kinetic energy $K$. If we double this kinetic energy, what happens to the beam's wavelength?

Accepted Answer

A)  It increases by a factor of 2 . 
B)  It increases by a factor of $2^{1 / 2}$. 
C)  It remains the same. 
D)  It decreases by a factor of $2^{1 / 2}$. 
E)  It decreases by a factor of 2. 
A)  It increases by a factor of 2 . 
B)  It increases by a factor of $2^{1 / 2}$. 
C)  It remains the same. 
D)  It decreases by a factor of $2^{1 / 2}$. 
E)  It decreases by a factor of 2.

Question 17

Imagine that in a Davisson-Germer-type experiment we shine a beam of electrons on a nickel crystal perpendicular to the crystal face and find that we get enhanced scattering at an angle of $50^{\circ}$. If we double the electrons' kinetic energy,
-(a) the angle of enhanced scattering will (A) increase, (B) decrease, or (C) remain constant,

Accepted Answer

The answer of Imagine that in a Davisson-Germer-type experiment we...

Question 18

A quanton moving in a system whose $V(x)$ is given by the box potential energy function can never be unbound, no matter what its total energy might be.

Accepted Answer

A) True 
 B)False

Question 19

Suppose we increase the absolute temperature of a semiconductor from $200 \mathrm{~K}$ to $300 \mathrm{~K}$. By roughly what factor does this make the semiconductor more conductive? (Hint: How much more likely is it for a conduction band energy level to be occupied by an electron?)

Accepted Answer

A)  1.5 times 
B)  3 times 
C)  4.5 times 
D)  20 times 
E)  One cannot tell with the information given. 
A)  1.5 times 
B)  3 times 
C)  4.5 times 
D)  20 times 
E)  One cannot tell with the information given.

Question 20

A series of possible particle processes are listed below. Which (if any) are probably not processes mediated by the weak interaction? (Note: $\gamma=$ a photon, $\mu=$ a muon, which is a lepton like the electron but heavier. Don't worry about conservation of energy.)

Accepted Answer

A)  $n+e^{+} \rightarrow p^{+}+\bar{v}$ 
B)  $v+n \rightarrow p^{+}+\mu^{-}$ 
C)  $\bar{v}+p^{+} \rightarrow n+e^{+}$ 
D)  $e^{+}+e^{-} \rightarrow \gamma+\gamma$ 
E)  All might be weak processes. 
A)  $n+e^{+} \rightarrow p^{+}+\bar{v}$ 
B)  $v+n \rightarrow p^{+}+\mu^{-}$ 
C)  $\bar{v}+p^{+} \rightarrow n+e^{+}$ 
D)  $e^{+}+e^{-} \rightarrow \gamma+\gamma$ 
E)  All might be weak processes.

We know that the Schrödinger equation is specifically an equation for EEFs because

If the two slits in a two-slit interference experiment are so far apart that their diffraction patterns do not overlap, the pattern displayed is consistent with a particle model of light.

A sinusoidal wave's angular frequency is (A) larger, (B) smaller, or (C) the same as its frequency in cycles/s.

${ }_{35}^{79} \mathrm{Br}$ has an atomic mass of $78.918336 \mathrm{u}$ , and ${ }_{.36}^{79} \mathrm{Kr}$ has an atomic mass of $78.920084 \mathrm{u}$ . Which is the correct decay process (or the likeliest if more than one is possible)?

A beam of light $P$ has twice the wavelength but the same intensity as beam $Q$ . The number of photons that hit a given area in a given time when it is illuminated by beam $P$ is (A) twice, (B) the same, or (C) one-half of the number that hit when the area is illuminated by beam $Q$ ?

The function $e^{-i \theta}=1 / e^{i \theta}$ .

What is the effect of adding some boron on how easily a silicon crystal conducts electricity?

Creating a quanton in a superposition of an observable's eigenvectors and then determining that observable's value is entirely analogous to putting a coin in a can, shaking the can, and then revealing the coin.

Violet light with a wavelength of $430 \mathrm{~nm}$ falls on a sodium plate $(W=2.75 \mathrm{eV})$ and a potassium plate $(W=$ $2.30 \mathrm{eV})$ . Which of of the following statements is true?

Sunlight falling on a spaceship in a vacuum will cause the spaceship to become a bit positively charged.

Two stretched strings with the same length but different tensions are both resonating at the same frequency. Which string has the greater number of antinodes?

We can use the computer method to generate a numerical solution to Schrödinger's equation for a bound quanton with any energy $E$ .

To create an interference pattern, a quanton beam's de Broglie wavelength must be larger than an individual quanton.

Consider a beam of free particles that each have a certain (nonrelativistic) kinetic energy $K$ . If we double this kinetic energy, what happens to the beam's wavelength?

A quanton moving in a system whose $V(x)$ is given by the box potential energy function can never be unbound, no matter what its total energy might be.

Suppose we increase the absolute temperature of a semiconductor from $200 \mathrm{~K}$ to $300 \mathrm{~K}$ . By roughly what factor does this make the semiconductor more conductive? (Hint: How much more likely is it for a conduction band energy level to be occupied by an electron?)

A series of possible particle processes are listed below. Which (if any) are probably not processes mediated by the weak interaction? (Note: $\gamma=$ a photon, $\mu=$ a muon, which is a lepton like the electron but heavier. Don't worry about conservation of energy.)

Conservation Laws Constrain Interactions

The Laws of Physics Are Universal Newtonian Mechanics

The Laws of Physics Are Frame-Independent Relativity

Electricity and Magnetism Are Unified

Some Processes Are Irreversible Thermal Physics

Filters

Exam 5: Matter Behaves Like Waves Quantum Physics

We know that the Schrödinger equation is specifically an equation for EEFs because

If the two slits in a two-slit interference experiment are so far apart that their diffraction patterns do not overlap, the pattern displayed is consistent with a particle model of light.

A sinusoidal wave's angular frequency is (A) larger, (B) smaller, or (C) the same as its frequency in cycles/s.

A beam of light PPP has twice the wavelength but the same intensity as beam QQQ . The number of photons that hit a given area in a given time when it is illuminated by beam PPP is (A) twice, (B) the same, or (C) one-half of the number that hit when the area is illuminated by beam QQQ ?

The function e−iθ=1/eiθe^{-i \theta}=1 / e^{i \theta}e−iθ=1/eiθ .

What is the effect of adding some boron on how easily a silicon crystal conducts electricity?

Creating a quanton in a superposition of an observable's eigenvectors and then determining that observable's value is entirely analogous to putting a coin in a can, shaking the can, and then revealing the coin.

Violet light with a wavelength of 430 nm430 \mathrm{~nm}430 nm falls on a sodium plate (W=2.75eV)(W=2.75 \mathrm{eV})(W=2.75eV) and a potassium plate (W=(W=(W= 2.30eV)2.30 \mathrm{eV})2.30eV) . Which of of the following statements is true?

Sunlight falling on a spaceship in a vacuum will cause the spaceship to become a bit positively charged.

Two stretched strings with the same length but different tensions are both resonating at the same frequency. Which string has the greater number of antinodes?

We can use the computer method to generate a numerical solution to Schrödinger's equation for a bound quanton with any energy EEE .

To create an interference pattern, a quanton beam's de Broglie wavelength must be larger than an individual quanton.

Consider a beam of free particles that each have a certain (nonrelativistic) kinetic energy KKK . If we double this kinetic energy, what happens to the beam's wavelength?

A quanton moving in a system whose V(x)V(x)V(x) is given by the box potential energy function can never be unbound, no matter what its total energy might be.

Suppose we increase the absolute temperature of a semiconductor from 200 K200 \mathrm{~K}200 K to 300 K300 \mathrm{~K}300 K . By roughly what factor does this make the semiconductor more conductive? (Hint: How much more likely is it for a conduction band energy level to be occupied by an electron?)

A series of possible particle processes are listed below. Which (if any) are probably not processes mediated by the weak interaction? (Note: γ=\gamma=γ= a photon, μ=\mu=μ= a muon, which is a lepton like the electron but heavier. Don't worry about conservation of energy.)

Conservation Laws Constrain Interactions

The Laws of Physics Are Universal Newtonian Mechanics

The Laws of Physics Are Frame-Independent Relativity

Electricity and Magnetism Are Unified

Some Processes Are Irreversible Thermal Physics

Filters

A beam of light $P$ has twice the wavelength but the same intensity as beam $Q$ . The number of photons that hit a given area in a given time when it is illuminated by beam $P$ is (A) twice, (B) the same, or (C) one-half of the number that hit when the area is illuminated by beam $Q$ ?

The function $e^{-i \theta}=1 / e^{i \theta}$ .

Violet light with a wavelength of $430 \mathrm{~nm}$ falls on a sodium plate $(W=2.75 \mathrm{eV})$ and a potassium plate $(W=$ $2.30 \mathrm{eV})$ . Which of of the following statements is true?

We can use the computer method to generate a numerical solution to Schrödinger's equation for a bound quanton with any energy $E$ .

Consider a beam of free particles that each have a certain (nonrelativistic) kinetic energy $K$ . If we double this kinetic energy, what happens to the beam's wavelength?

A quanton moving in a system whose $V(x)$ is given by the box potential energy function can never be unbound, no matter what its total energy might be.

Suppose we increase the absolute temperature of a semiconductor from $200 \mathrm{~K}$ to $300 \mathrm{~K}$ . By roughly what factor does this make the semiconductor more conductive? (Hint: How much more likely is it for a conduction band energy level to be occupied by an electron?)

A series of possible particle processes are listed below. Which (if any) are probably not processes mediated by the weak interaction? (Note: $\gamma=$ a photon, $\mu=$ a muon, which is a lepton like the electron but heavier. Don't worry about conservation of energy.)