Talk:QB/d Bell.photon

First to allow and display discussion of each question, and second, to store the quiz in raw-script for.

1
- is cut in half - is reduced by a factor of 4 - stays the same + becomes twice as big - becomes 4 times as big
 * If the wavelength &lambda; associated with a photon is cut in half, the photon's energy E

c=f&lambda; is easy to remember because the dimensions are right. Since f&lambda; is constant, ''f&prop;1/&lambda;. E=hf is harder to remember, but leads to E&prop;f leads to E&prop;1/&lambda; If wavelength goes down, energy goes up porportionally.'' 

2
+ is cut in half - is reduced by a factor of 4 - stays the same - becomes twice as big - becomes 4 times as big
 * If the wavelength &lambda; associated with a photon doubles, the photon's frequency f

c=f&lambda; is easy to remember because the dimensions are right. Since f&lambda; is constant, ''f&prop;1/&lambda;. If wavelength doubles, frequency is cut in half.'' 

3
- is cut in half + is reduced by a factor of 4 - stays the same - becomes twice as big - becomes 4 times as big
 * If the frequency f associated with a photon increases by a factor of 4, the photon's wavelength &lambda;

c=f&lambda; is easy to remember because the dimensions are right. Since f&lambda; is constant, ''f&prop;1/&lambda;. If wavelength goes up a factor of 4, frequency goes down a factor of 4.'' 

4
- is cut in half - is reduced by a factor of 4 - stays the same - becomes twice as big + becomes 4 times as big
 * If the frequency f associated with a photon increases by a factor of 4, the photon's energy E

Here all we need is the Plank relation between energy and frequency E=hf 

5
- stays the same - increases by 2 eV - increases by 4 eV - decreases by 2 eV + decreases by 4 eV
 * If an atom emits two photons in a cascade emission and both photons have 2 eV of energy, the atom's energy

A cascade emission (at two different frequencies) is one way to do a Bell test with photons. 

6
- stays the same + increases by 2 eV - increases by 4 eV - decreases by 2 eV - decreases by 4 eV
 * If an atom absorbs a photon with 2 eV energy, the atom's energy

easy question 

7
- zero + less than 3 eV - equal to 3 eV - greater than 3 eV - equal to 6 eV
 * If a 3 eV photon strikes a metal plate and causes an electron to escape, that electron will have a kinetic energy that is

First the electron loses KE due to the work function. But also, the stopping voltage measures only the component of KE associated with motion perpendicular to the plate. It is the first consideration that guarantees an energy less than the photon's. 

8
- measuring spin - measuring polarization - measuring both spin and polarization - deflecting the electron with a magnetic field + stopping the electron with an applied voltage
 * In the Phet lab for photoelectric effect, how was the electron's kinetic energy measured?

The lab currently can be found at https://phet.colorado.edu/en/simulation/photoelectric 

9
- stays the same - increases by 2 eV - increases by 4 eV - decreases by 2 eV + decreases by 4 eV
 * If an atom absorbs a photon with 4 eV energy, the atom's energy

easy question perhaps too easy? 

10
- 1018 - 2x1018 + 4x1018 - 6x1018 - 8x1018
 * If 1018 photons pass through a small hole in your roof every second, how many photons would pass through it if you doubled the diameter?

Area goes as radius squared (basic dimensional analysis says this even if you don't use A=&pi;R2 

11
+ The hotter object has a greater energy density. - The larger object has a greater energy density. - They have the same energy density (since the holes are identical). - No unique answer exists because two variables are involved (temperature and volume).
 * Two black bodies of are created by cutting identical small holes in two large containers. The holes are oriented so that all the photons leaving one will enter the other.  The objects have different temperature and different volume. Which object has the greater electromagnetic ("photon") energy density (energy per unit volume)?

This question serves two purposes: (1) to inform students that the "photon" first emerged as a solution to the blackbody problem, and (2) to introduce the distinction between intensive and extensive properties. 

12
+ The object with the greater temperature emits more. - The object with the greater volume. - They both emit the same number of photons (since the holes are identical). - No unique answer exists because two variables are involved (temperature and volume).
 * Two black bodies of are created by cutting identical small holes two large containers. The holes are oriented so that all the photons leaving one will enter the other.  The objects have different temperature and different volume. Which object emits more photons per second (above a given threshold energy)?

We know that the emission spectrum of a black body depends only on temperature (with power also depending on area). Carnot's version of the second law of thermodynamics stipulates that photon energy must flow from the hotter to the colder object. By inserting filters between the two (identical) holes we can ensure that this equality holds at all wavelengths. 

13
- The hotter object has a greater energy. - The larger object has a greater energy. - They have the same energy (since the holes are identical). + No unique answer exists because two variables are involved (temperature and volume).
 * Two black bodies of are created by cutting identical small holes in two large containers. The holes are oriented so that all the photons leaving one will enter the other.  The objects have different temperature and different volume. Which object has the greater electromagnetic ("photon") energy?

To suppress blind memorization, this question is a partner to a similar one where the question was about energy density. 

14
- Photons striking metal and ejecting electrons (photo-electric effect explained in 1905) - Diffraction observed in light so faint that photons seemed to have no mechanism to interact with each other (observed in 1909) - A system similar to the one that led to the 1901 proposal that light energy is quantized as integral multiples of hf (except that Plank assumed that the walls were conductive.) + Evidence presented in 1800 that light is a wave. - The transfer of energy and momentum of a high energy photon of a nearly free electron.
 * Young Diffraction cropped.png This figure is associated with

This is the first of four questions that might not suit all instructors. One way to alleviate this is to look at whether a given question is on the test, and talk about that one. Informing students that the others will not be on the test will prevent memorization, but not informing them (and not talking about) will also disincentivize memorization and encourage lecture attendance. 

15
- Photons striking metal and ejecting electrons (photo-electric effect explained in 1905) + Diffraction observed in light so faint that photons seemed to have no mechanism to interact with each other (observed in 1909) - A system similar to the one that led to the 1901 proposal that light energy is quantized as integral multiples of hf (except that Plank assumed that the walls were conductive.) - Evidence presented in 1800 that light is a wave. - The transfer of energy and momentum of a high energy photon of a nearly free electron.
 * Wave-particle duality static.svg This figure is associated with

A candidate for the first "spooky" experiment of quantum mechanics? 

16
+ Photons striking metal and ejecting electrons (photo-electric effect explained in 1905) - Diffraction observed in light so faint that photons seemed to have no mechanism to interact with each other (observed in 1909) - A system similar to the one that led to the 1901 proposal that light energy is quantized as integral multiples of hf (except that Plank assumed that the walls were conductive.) - Evidence presented in 1800 that light is a wave. - The transfer of energy and momentum of a high energy photon of a nearly free electron.
 * Photoelectric_effect.svg This figure is associated with

Students will likely memorize only one aspect of this answer. I put the most important first (physical process), and expect other questions on other quizzes to reinforce that it is called the photo-electric effect. 

17
- Photons striking metal and ejecting electrons (photo-electric effect explained in 1905) - Diffraction observed in light so faint that photons seemed to have no mechanism to interact with each other (observed in 1909) + A system similar to the one that led to the 1901 proposal that light energy is quantized as integral multiples of hf - Evidence presented in 1800 that light is a wave. - The transfer of energy and momentum of a high energy photon of a nearly free electron.
 * Black-body_realization.png This figure is associated with

Plank assumed that the walls were perfect conductors, not exactly what is shown. <div style="clear:;">

18
- 0 - 1/4 - 1/2 + 3/4 - 1
 * A photon is polarized at 5&deg; when it encounters a filter oriented at 35&deg;. What is the probability that it passes?

$$cos^2 30^\circ=3/4$$ <div style="clear:;">

19
- 0 - 1/4 + 1/2 - 3/4 - 1
 * A photon is polarized at 10&deg; when it encounters a filter oriented at 55&deg;. What is the probability that it passes?

$$cos^2 45^\circ=1/2$$ <div style="clear:;">

20
- 0 + 1/4 - 1/2 - 3/4 - 1
 * A photon is polarized at 10&deg; when it encounters a filter oriented at 70&deg;. What is the probability that it passes?

$$cos^2 60^\circ=1/4$$ <div style="clear:;">

21
- 0 - 1/4 - 1/2 + 3/4 - 1
 * A photon is polarized at 10&deg; when it encounters a filter oriented at 40&deg;. What is the probability that it is blocked?

$$cos^2 30^\circ=1/4$$ so it is blocked with P=3/4 <div style="clear:;">

22
- 0 - 1/4 + 1/2 - 3/4 - 1
 * A photon is polarized at 5&deg; when it encounters a filter oriented at 50&deg;. What is the probability that it is blocked?

$$1-cos^2 45^\circ=1/2$$ <div style="clear:;">

23
- 0 + 1/4 - 1/2 - 3/4 - 1
 * A photon is polarized at 5&deg; when it encounters a filter oriented at 65&deg;. What is the probability that it is blocked?

c$$1-cos^2 30^\circ=1-3/4$$ <div style="clear:;">

24
+ 0 - 1/4 - 1/2 - 3/4 - 1
 * A photon is polarized at 10&deg; when it encounters a filter oriented at 100&deg;. What is the probability that it passes?

obvious <div style="clear:;">

25
- 0 - 1/4 - 1/2 - 3/4 + 1
 * A photon is polarized at 10&deg; when it encounters a filter oriented at 100&deg;. What is the probability that it is blocked?

obvious <div style="clear:;">

Raw script

 * t QB/d_Bell.photon


 * ! q1 CCO (public domain) user:Guy vandegrift
 * ? If the wavelength &lambda; associated with a photon is cut in half, the photon's energy E
 * - is cut in half
 * - is reduced by a factor of 4
 * - stays the same
 * + becomes twice as big
 * - becomes 4 times as big
 * $ c=f&lambda; is easy to remember because the dimensions are right. Since f&lambda; is constant, f&prop;1/&lambda;.  E=hf is harder to remember, but leads to E&prop;f leads to E&prop;1/&lambda;  If wavelength goes down, energy goes up porportionally.


 * ! q2 CCO (public domain) user:Guy vandegrift
 * ? If the wavelength &lambda; associated with a photon doubles, the photon's frequency f
 * + is cut in half
 * - is reduced by a factor of 4
 * - stays the same
 * - becomes twice as big
 * - becomes 4 times as big
 * $ c=f&lambda; is easy to remember because the dimensions are right. Since f&lambda; is constant, f&prop;1/&lambda;. If wavelength doubles, frequency is cut in half.


 * ! q3 CCO (public domain) user:Guy vandegrift
 * ? If the frequency f associated with a photon increases by a factor of 4, the photon's wavelength &lambda;
 * - is cut in half
 * + is reduced by a factor of 4
 * - stays the same
 * - becomes twice as big
 * - becomes 4 times as big
 * $ c=f&lambda; is easy to remember because the dimensions are right. Since f&lambda; is constant, f&prop;1/&lambda;. If wavelength goes up a factor of 4, frequency goes down a factor of 4.


 * ! q4 CCO (public domain) user:Guy vandegrift
 * ? If the frequency f associated with a photon increases by a factor of 4, the photon's energy E
 * - is cut in half
 * - is reduced by a factor of 4
 * - stays the same
 * - becomes twice as big
 * + becomes 4 times as big
 * $ Here all we need is the Plank relation between energy and frequency E=hf


 * ! q5 CCO (public domain) user:Guy vandegrift
 * ? If an atom emits two photons in a cascade emission and both photons have 2 eV of energy, the atom's energy
 * - stays the same
 * - increases by 2 eV
 * - increases by 4 eV
 * - decreases by 2 eV
 * + decreases by 4 eV
 * $ A cascade emission (at two different frequencies) is one way to do a Bell test with photons.


 * ! q6 CCO (public domain) user:Guy vandegrift
 * ? If an atom absorbs a photon with 2 eV energy, the atom's energy
 * - stays the same
 * + increases by 2 eV
 * - increases by 4 eV
 * - decreases by 2 eV
 * - decreases by 4 eV
 * $ easy question


 * ! q7 CCO (public domain) user:Guy vandegrift
 * ? If a 3 eV photon strikes a metal plate and causes an electron to escape, that electron will have a kinetic energy that is
 * - zero
 * + less than 3 eV
 * - equal to 3 eV
 * - greater than 3 eV
 * - equal to 6 eV
 * $ First the electron loses KE due to the work function. But also, the stopping voltage measures only the component of KE associated with motion perpendicular to the plate.  It is the first consideration that guarantees an energy less than the photon's.


 * ! q8 CCO (public domain) user:Guy vandegrift
 * ? In the Phet lab for photoelectric effect, how was the electron's kinetic energy measured?
 * - measuring spin
 * - measuring polarization
 * - measuring both spin and polarization
 * - deflecting the electron with a magnetic field
 * + stopping the electron with an applied voltage
 * $ The lab currently can be found at https://phet.colorado.edu/en/simulation/photoelectric


 * ! q9 CCO (public domain) user:Guy vandegrift
 * ? If an atom absorbs a photon with 4 eV energy, the atom's energy
 * - stays the same
 * - increases by 2 eV
 * - increases by 4 eV
 * - decreases by 2 eV
 * + decreases by 4 eV
 * $ easy question perhaps too easy?


 * ! q10 CCO (public domain) user:Guy vandegrift
 * ? If 1018 photons pass through a small hole in your roof every second, how many photons would pass through it if you doubled the diameter?
 * - 1018
 * - 2x1018
 * + 4x1018
 * - 6x1018
 * - 8x1018
 * $ Area goes as radius squared (basic dimensional analysis says this even if you don't use A=&pi;R2


 * ! q11 CCO (public domain) user:Guy vandegrift
 * ? Two black bodies of are created by cutting identical small holes in two large containers. The holes are oriented so that all the photons leaving one will enter the other.  The objects have different temperature and different volume. Which object has the greater electromagnetic ("photon") energy density (energy per unit volume)?
 * + The hotter object has a greater energy density.
 * - The larger object has a greater energy density.
 * - They have the same energy density (since the holes are identical).
 * - No unique answer exists because two variables are involved (temperature and volume).
 * $ This question serves two purposes: (1) to inform students that the "photon" first emerged as a solution to the blackbody problem, and (2) to introduce the distinction between intensive and extensive properties.


 * ! q12 CCO (public domain) user:Guy vandegrift
 * ? Two black bodies of are created by cutting identical small holes two large containers. The holes are oriented so that all the photons leaving one will enter the other.  The objects have different temperature and different volume. Which object emits more photons per second (above a given threshold energy)?
 * + The object with the greater temperature emits more.
 * - The object with the greater volume.
 * - They both emit the same number of photons (since the holes are identical).
 * - No unique answer exists because two variables are involved (temperature and volume).
 * $ We know that the emission spectrum of a black body depends only on temperature (with power also depending on area). Carnot's version of the second law of thermodynamics stipulates that photon energy must flow from the hotter to the colder object.  By inserting filters between the two (identical) holes we can ensure that this equality holds at all wavelengths.


 * ! q13 CCO (public domain) user:Guy vandegrift
 * ? Two black bodies of are created by cutting identical small holes in two large containers. The holes are oriented so that all the photons leaving one will enter the other.  The objects have different temperature and different volume. Which object has the greater electromagnetic ("photon") energy?
 * - The hotter object has a greater energy.
 * - The larger object has a greater energy.
 * - They have the same energy (since the holes are identical).
 * + No unique answer exists because two variables are involved (temperature and volume).
 * $ To suppress blind memorization, this question is a partner to a similar one where the question was about energy density.


 * ! q14 CCO (public domain) user:Guy vandegrift
 * ? Young Diffraction cropped.png This figure is associated with
 * - Photons striking metal and ejecting electrons (photo-electric effect explained in 1905)
 * - Diffraction observed in light so faint that photons seemed to have no mechanism to interact with each other (observed in 1909)
 * - A system similar to the one that led to the 1901 proposal that light energy is quantized as integral multiples of hf (except that Plank assumed that the walls were conductive.)
 * + Evidence presented in 1800 that light is a wave.
 * - The transfer of energy and momentum of a high energy photon of a nearly free electron.
 * $ This is the first of four questions that might not suit all instructors. One way to alleviate this is to look at whether a given question is on the test, and talk about that one.  Informing students that the others will not be on the test will prevent memorization, but not informing them (and not talking about) will also disincentivize memorization and encourage lecture attendance.


 * ! q15 CCO (public domain) user:Guy vandegrift
 * ? Wave-particle duality static.svg This figure is associated with
 * - Photons striking metal and ejecting electrons (photo-electric effect explained in 1905)
 * + Diffraction observed in light so faint that photons seemed to have no mechanism to interact with each other (observed in 1909)
 * - A system similar to the one that led to the 1901 proposal that light energy is quantized as integral multiples of hf (except that Plank assumed that the walls were conductive.)
 * - Evidence presented in 1800 that light is a wave.
 * - The transfer of energy and momentum of a high energy photon of a nearly free electron.
 * $ A candidate for the first "spooky" experiment of quantum mechanics?


 * ! q16 CCO (public domain) user:Guy vandegrift
 * ? Photoelectric_effect.svg This figure is associated with
 * + Photons striking metal and ejecting electrons (photo-electric effect explained in 1905)
 * - Diffraction observed in light so faint that photons seemed to have no mechanism to interact with each other (observed in 1909)
 * - A system similar to the one that led to the 1901 proposal that light energy is quantized as integral multiples of hf (except that Plank assumed that the walls were conductive.)
 * - Evidence presented in 1800 that light is a wave.
 * - The transfer of energy and momentum of a high energy photon of a nearly free electron.
 * $ Students will likely memorize only one aspect of this answer. I put the most important first (physical process), and expect other questions on other quizzes to reinforce that it is called the photo-electric effect.


 * ! q17 CCO (public domain) user:Guy vandegrift
 * ? Black-body_realization.png This figure is associated with
 * - Photons striking metal and ejecting electrons (photo-electric effect explained in 1905)
 * - Diffraction observed in light so faint that photons seemed to have no mechanism to interact with each other (observed in 1909)
 * + A system similar to the one that led to the 1901 proposal that light energy is quantized as integral multiples of hf
 * - Evidence presented in 1800 that light is a wave.
 * - The transfer of energy and momentum of a high energy photon of a nearly free electron.
 * $ Plank assumed that the walls were perfect conductors, not exactly what is shown.


 * ! q18 CCO (public domain) user:Guy vandegrift
 * ? A photon is polarized at 5&deg; when it encounters a filter oriented at 35&deg;. What is the probability that it passes?
 * -0
 * -1/4
 * -1/2
 * +3/4
 * -1
 * $ $$cos^2 30^\circ=3/4$$


 * ! q19 CCO (public domain) user:Guy vandegrift
 * ? A photon is polarized at 10&deg; when it encounters a filter oriented at 55&deg;. What is the probability that it passes?
 * -0
 * -1/4
 * +1/2
 * -3/4
 * -1
 * $ $$cos^2 45^\circ=1/2$$


 * ! q20 CCO (public domain) user:Guy vandegrift
 * ? A photon is polarized at 10&deg; when it encounters a filter oriented at 70&deg;. What is the probability that it passes?
 * -0
 * +1/4
 * -1/2
 * -3/4
 * -1
 * $ $$cos^2 60^\circ=1/4$$


 * ! q21 CCO (public domain) user:Guy vandegrift
 * ? A photon is polarized at 10&deg; when it encounters a filter oriented at 40&deg;. What is the probability that it is blocked?
 * -0
 * -1/4
 * -1/2
 * +3/4
 * -1
 * $ $$cos^2 30^\circ=1/4$$ so it is blocked with P=3/4


 * ! q22 CCO (public domain) user:Guy vandegrift
 * ? A photon is polarized at 5&deg; when it encounters a filter oriented at 50&deg;. What is the probability that it is blocked?
 * -0
 * -1/4
 * +1/2
 * -3/4
 * -1
 * $ $$1-cos^2 45^\circ=1/2$$


 * ! q23 CCO (public domain) user:Guy vandegrift
 * ? A photon is polarized at 5&deg; when it encounters a filter oriented at 65&deg;. What is the probability that it is blocked?
 * -0
 * +1/4
 * -1/2
 * -3/4
 * -1
 * $ c$$1-cos^2 30^\circ=1-3/4$$


 * ! q24 CCO (public domain) user:Guy vandegrift
 * ? A photon is polarized at 10&deg; when it encounters a filter oriented at 100&deg;. What is the probability that it passes?
 * +0
 * -1/4
 * -1/2
 * -3/4
 * -1
 * $ obvious


 * ! q25 CCO (public domain) user:Guy vandegrift
 * ? A photon is polarized at 10&deg; when it encounters a filter oriented at 100&deg;. What is the probability that it is blocked?
 * -0
 * -1/4
 * - 1/2
 * - 3/4
 * + 1
 * $ obvious


 * z