Question 1

Consider the function $\psi(x)=A x^{2}+B$, where $A$ and $B$ are constants. Is this function a possible quantum wave function under the right circumstances?

Accepted Answer

A)  Yes. 
B)  Yes, but only for certain values of $A$ and $B$. 
C)  Yes, but only if $A$ and $B$ are complex. 
D)  Yes, if $B$ is zero. 
E)  No. 
A)  Yes. 
B)  Yes, but only for certain values of $A$ and $B$. 
C)  Yes, but only if $A$ and $B$ are complex. 
D)  Yes, if $B$ is zero. 
E)  No.

Question 2

The amount of ${ }_{6}^{14} \mathrm{C}$ in a bone is about one-fourth of what one would expect based on the relative abundance of ${ }_{6}^{14} \mathrm{C}$ and ${ }_{6}^{12} \mathrm{C}$. Since the half-life of ${ }_{6}^{14} \mathrm{C}$ is a bit less than $6000 \mathrm{y}$, the bone's age is closest to

Accepted Answer

A)  $36,000,000 \mathrm{y}$. 
B)  $24,000 \mathrm{y}$. 
C)  $12,000 \mathrm{y}$. 
D)  $4000 \mathrm{y}$. 
E)  $1500 \mathrm{y}$. 
A)  $36,000,000 \mathrm{y}$. 
B)  $24,000 \mathrm{y}$. 
C)  $12,000 \mathrm{y}$. 
D)  $4000 \mathrm{y}$. 
E)  $1500 \mathrm{y}$.

Question 3

Consider a quanton in a box. How does the wavelength $\lambda$ of an energy eigen function in this case depend on the energy $E$ corresponding to that eigen function?

Accepted Answer

A)  $\lambda \propto E$ 
B)  $\lambda \propto \sqrt{E}$ 
C)  $\lambda$ is independent of $E$. 
D)  $\lambda \propto 1 / \sqrt{E}$ 
E)  $\lambda \propto 1 / E$ 
A)  $\lambda \propto E$ 
B)  $\lambda \propto \sqrt{E}$ 
C)  $\lambda$ is independent of $E$. 
D)  $\lambda \propto 1 / \sqrt{E}$ 
E)  $\lambda \propto 1 / E$

Question 4

Suppose that at a certain time a quanton has a well-defined position $x=0.15 \mathrm{~nm}$. At that time, we perform an experiment to determine the quanton's momentum, and find it has a value that corresponds to a de Broglie wavelength of $0.45 \mathrm{~nm}$ to a high degree of precision. What can we say about the quanton's position after the experiment?

Accepted Answer

A)  It is still $0.15 \mathrm{~nm}$. 
B)  It is now $0.45 \mathrm{~nm}$. 
C)  It is now within $\pm 0.45 \mathrm{~nm}$ of $0.15 \mathrm{~nm}$. 
D)  It is now undefined but probably close to $0.15 \mathrm{~nm}$. 
E)  It is now completely undefined.
F) Other (specify). 
A)  It is still $0.15 \mathrm{~nm}$. 
B)  It is now $0.45 \mathrm{~nm}$. 
C)  It is now within $\pm 0.45 \mathrm{~nm}$ of $0.15 \mathrm{~nm}$. 
D)  It is now undefined but probably close to $0.15 \mathrm{~nm}$. 
E)  It is now completely undefined.
F) Other (specify).

Question 5

The type of radiation that fogged Becquerel's photographic plates was probably

Accepted Answer

A)  Alpha radiation. 
B)  Beta radiation. 
C)  Gamma radiation. 
D)  Either alpha or beta radiation. 
E)  Either beta or gamma radiation. 
A)  Alpha radiation. 
B)  Beta radiation. 
C)  Gamma radiation. 
D)  Either alpha or beta radiation. 
E)  Either beta or gamma radiation.

Question 6

Consider a two-slit interference experiment like the one shown in figure Q3.7b. The distance between adjacent bright spots in the interference pattern on the screen ,
  
-The wavelength of the light increases.

Accepted Answer

A)  increases 
B)  decreases 
C)  remains the same 
A)  increases 
B)  decreases 
C)  remains the same

Question 7

The fusion reactions used in thermonuclear bombs and fusion power experiments are exactly the same as those used in the sun.

Accepted Answer

A) True 
 B)False

Question 8

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 shines on a metal surface, electrons are ejected from the surface.

Accepted Answer

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

Question 9

In the region where their beams overlap, two car headlights will create a clear interference pattern on a distant screen.

Accepted Answer

A) True 
 B)False

Question 10

A terrorist organization seeking to construct a nuclear bomb would likely be more interested in obtaining ${ }_{92}^{235} \mathrm{U}$ than 94 Pu.

Accepted Answer

A) True 
 B)False

Question 11

If energy is released when the parts of a system are allowed to disperse to infinity, its binding energy is

Accepted Answer

A)  Positive. 
B)  Negative. 
C)  Zero. 
D)  Not defined in such a case. 
A)  Positive. 
B)  Negative. 
C)  Zero. 
D)  Not defined in such a case.

Question 12

(For discussion.) Which do you personally think is the weirdest aspect of quantum mechanics and why?

Accepted Answer

A)  It does not support objectively real quanton properties. 
B)  It requires possibly superluminal connections. 
C)  It has two incompatible time evolution rules. 
D)  There seems to be some kind of unexplained disconnect between microscopic and macroscopic physics. 
A)  It does not support objectively real quanton properties. 
B)  It requires possibly superluminal connections. 
C)  It has two incompatible time evolution rules. 
D)  There seems to be some kind of unexplained disconnect between microscopic and macroscopic physics.

Question 13

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:
- Photons sent one at a time through two slits appear individually to hit a detector array at random positions, but statistically fall into a two-slit interference pattern.

Accepted Answer

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

Question 14

Einstein's photon model is consistent with the results of two-slit interference experiments involving light.

Accepted Answer

A) True 
 B)False

Question 15

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,
-(b) by a factor (A) a bit larger than, (B) a bit less than, or (C) equal to

Accepted Answer

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

Question 16

Even though the observable $S_{y}$ can only have the values $+\frac{1}{2} \hbar$ and $-\frac{1}{2} \hbar$, the expectation value $\left\langle s_{y}\right\rangle$ can have anyvalue between these two extremes.

Accepted Answer

A) True 
 B)False

Question 17

If the activity of a radioactive sample has decreased by a factor of 4 in time $T$, then $T=2 t_{1 / 2}$.

Accepted Answer

A) True 
 B)False

Question 18

Suppose we have a quantum system of an unknown type. We find that a certain amount of energy $\Delta E$ moves this system from its lowest possible energy to its second-lowest energy, but $\frac{5}{3} \Delta E$ is required to get it to its next higher energy. Is this quantum system a quanton in a box, a hydrogen atom, or a simple harmonic oscillator?

Accepted Answer

A)  A quanton in a box.} 
B)  A hydrogen atom. 
C)  A simple harmonic oscillator. 
D)  The stated facts are inconsistent with all of these models. 
A)  A quanton in a box.} 
B)  A hydrogen atom. 
C)  A simple harmonic oscillator. 
D)  The stated facts are inconsistent with all of these models.

Question 19

Which of the following is a valid spin state $q$-vector? (If you are using the letters on the back cover, you can indicate more than one choice by pointing to several letters.)

Accepted Answer

A)  $\left[\begin{array}{l}2 \ -1\end{array}\right]$ 
B)  $\left[\begin{array}{c}-1 / 2 \ \sqrt{3 / 4}\end{array}\right]$ 
C)  $\left[\begin{array}{l}\frac{1}{3} \ \frac{2}{3}\end{array}\right]$ 
D)  $\left[\begin{array}{c}\sin ^{2} \frac{1}{2} \theta \ \cos ^{2} \frac{1}{2} \theta\end{array}\right]$ 
E)  None of the above
F) All of the above 
A)  $\left[\begin{array}{l}2 \ -1\end{array}\right]$ 
B)  $\left[\begin{array}{c}-1 / 2 \ \sqrt{3 / 4}\end{array}\right]$ 
C)  $\left[\begin{array}{l}\frac{1}{3} \ \frac{2}{3}\end{array}\right]$ 
D)  $\left[\begin{array}{c}\sin ^{2} \frac{1}{2} \theta \ \cos ^{2} \frac{1}{2} \theta\end{array}\right]$ 
E)  None of the above
F) All of the above

Question 20

About how many times larger in diameter is a ${ }_{29}^{64} \mathrm{Cu}$ nucleus than an ${ }_{13}^{27} \mathrm{Al}$ nucleus?

Accepted Answer

A)  2.37 
B)  1.54 
C)  1.33 
D)  They are about the same size. 
E)  Some other factor (specify) 
A)  2.37 
B)  1.54 
C)  1.33 
D)  They are about the same size. 
E)  Some other factor (specify)

Consider the function $\psi(x)=A x^{2}+B$ , where $A$ and $B$ are constants. Is this function a possible quantum wave function under the right circumstances?

Consider a quanton in a box. How does the wavelength $\lambda$ of an energy eigen function in this case depend on the energy $E$ corresponding to that eigen function?

The type of radiation that fogged Becquerel's photographic plates was probably

Consider a two-slit interference experiment like the one shown in figure Q3.7b. The distance between adjacent bright spots in the interference pattern on the screen , -The wavelength of the light increases.

The fusion reactions used in thermonuclear bombs and fusion power experiments are exactly the same as those used in the sun.

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 shines on a metal surface, electrons are ejected from the surface.

In the region where their beams overlap, two car headlights will create a clear interference pattern on a distant screen.

A terrorist organization seeking to construct a nuclear bomb would likely be more interested in obtaining ${ }_{92}^{235} \mathrm{U}$ than 94 Pu.

If energy is released when the parts of a system are allowed to disperse to infinity, its binding energy is

(For discussion.) Which do you personally think is the weirdest aspect of quantum mechanics and why?

Einstein's photon model is consistent with the results of two-slit interference experiments involving light.

Even though the observable $S_{y}$ can only have the values $+\frac{1}{2} \hbar$ and $-\frac{1}{2} \hbar$ , the expectation value $\left\langle s_{y}\right\rangle$ can have anyvalue between these two extremes.

If the activity of a radioactive sample has decreased by a factor of 4 in time $T$ , then $T=2 t_{1 / 2}$ .

Which of the following is a valid spin state $q$ -vector? (If you are using the letters on the back cover, you can indicate more than one choice by pointing to several letters.)

About how many times larger in diameter is a ${ }_{29}^{64} \mathrm{Cu}$ nucleus than an ${ }_{13}^{27} \mathrm{Al}$ nucleus?

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

Consider the function ψ(x)=Ax2+B\psi(x)=A x^{2}+Bψ(x)=Ax2+B , where AAA and BBB are constants. Is this function a possible quantum wave function under the right circumstances?

Consider a quanton in a box. How does the wavelength λ\lambdaλ of an energy eigen function in this case depend on the energy EEE corresponding to that eigen function?

The type of radiation that fogged Becquerel's photographic plates was probably

Consider a two-slit interference experiment like the one shown in figure Q3.7b. The distance between adjacent bright spots in the interference pattern on the screen , -The wavelength of the light increases.

The fusion reactions used in thermonuclear bombs and fusion power experiments are exactly the same as those used in the sun.

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 shines on a metal surface, electrons are ejected from the surface.

In the region where their beams overlap, two car headlights will create a clear interference pattern on a distant screen.

A terrorist organization seeking to construct a nuclear bomb would likely be more interested in obtaining 92235U{ }_{92}^{235} \mathrm{U}92235​U than 94 Pu.

If energy is released when the parts of a system are allowed to disperse to infinity, its binding energy is

(For discussion.) Which do you personally think is the weirdest aspect of quantum mechanics and why?

Einstein's photon model is consistent with the results of two-slit interference experiments involving light.

Even though the observable SyS_{y}Sy​ can only have the values +12ℏ+\frac{1}{2} \hbar+21​ℏ and −12ℏ-\frac{1}{2} \hbar−21​ℏ , the expectation value ⟨sy⟩\left\langle s_{y}\right\rangle⟨sy​⟩ can have anyvalue between these two extremes.

If the activity of a radioactive sample has decreased by a factor of 4 in time TTT , then T=2t1/2T=2 t_{1 / 2}T=2t1/2​ .

Which of the following is a valid spin state qqq -vector? (If you are using the letters on the back cover, you can indicate more than one choice by pointing to several letters.)

About how many times larger in diameter is a 2964Cu{ }_{29}^{64} \mathrm{Cu}2964​Cu nucleus than an 1327Al{ }_{13}^{27} \mathrm{Al}1327​Al nucleus?

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

Consider the function $\psi(x)=A x^{2}+B$ , where $A$ and $B$ are constants. Is this function a possible quantum wave function under the right circumstances?

Consider a quanton in a box. How does the wavelength $\lambda$ of an energy eigen function in this case depend on the energy $E$ corresponding to that eigen function?

A terrorist organization seeking to construct a nuclear bomb would likely be more interested in obtaining ${ }_{92}^{235} \mathrm{U}$ than 94 Pu.

Even though the observable $S_{y}$ can only have the values $+\frac{1}{2} \hbar$ and $-\frac{1}{2} \hbar$ , the expectation value $\left\langle s_{y}\right\rangle$ can have anyvalue between these two extremes.

If the activity of a radioactive sample has decreased by a factor of 4 in time $T$ , then $T=2 t_{1 / 2}$ .

Which of the following is a valid spin state $q$ -vector? (If you are using the letters on the back cover, you can indicate more than one choice by pointing to several letters.)

About how many times larger in diameter is a ${ }_{29}^{64} \mathrm{Cu}$ nucleus than an ${ }_{13}^{27} \mathrm{Al}$ nucleus?