An experiment is performed in which a beam of electrons is accelerated across the space between the plates and passes through the small opening. After passing through the opening, the electrons travel in a semicircular path and strike the right-hand plate. The potential difference between the plates is varied in regular increments, as shown in the table below. For each potential difference, the magnetic field is varied in order to cause the beam to strike the right-hand plate at a distance of 0.020 m from the opening.

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Chapter1: Units, Trigonometry. And Vectors
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Hello for my previous question with this image that was rejected because its a graded question, this is NOT a graded assignment. This is the AP test from 2019 that I am using to study for my AP test from the college board. There are answers posted already from the college board and all of this information can be found with a quick google search of this question. Thank you and it was rejected previously before that because I submitted help for subpart D-F.  But it got rejected because I was told it was a writing question.   

Question D is asking to indicate below which quantities should be graphed to yield a straight line whose slope could be used to calculate a numerical value for the mass-to-charge ratio of an electron. So it's not writing while questions E & F are graph questions. If graph questions are not allowed then I will submit it to writing but I think there may have been a mistake? If not then can you help me complete just subpart D?

AV
В
mass = m
charge = e-
3. Two plates are set up with a potential difference V between them. A small sphere of mass m and charge -e
is placed at the left-hand plate, which has a negative charge, and is allowed to accelerate across the space
between the plates and pass through a small opening. After passing through the small opening, the sphere
enters a region in which there is a uniform magnetic field of magnitude B directed into the page, as shown
above. Ignore gravitational effects. Express all algebraic answers in terms of V, m, e, B, and fundamental
constants, as appropriate.
(a)
i. What is the initial direction of the force on the sphere as it enters the magnetic field?
Into the page
Out of the page
Toward the top of the page
Toward the bottom of the page
ii. Describe the path taken by the sphere after it enters the magnetic field.
(b) Derive an expression for the speed of the sphere as it passes through the small opening.
(c) Derive an expression for the radius of the path taken by the sphere as it moves through the magnetic field.
X
Transcribed Image Text:AV В mass = m charge = e- 3. Two plates are set up with a potential difference V between them. A small sphere of mass m and charge -e is placed at the left-hand plate, which has a negative charge, and is allowed to accelerate across the space between the plates and pass through a small opening. After passing through the small opening, the sphere enters a region in which there is a uniform magnetic field of magnitude B directed into the page, as shown above. Ignore gravitational effects. Express all algebraic answers in terms of V, m, e, B, and fundamental constants, as appropriate. (a) i. What is the initial direction of the force on the sphere as it enters the magnetic field? Into the page Out of the page Toward the top of the page Toward the bottom of the page ii. Describe the path taken by the sphere after it enters the magnetic field. (b) Derive an expression for the speed of the sphere as it passes through the small opening. (c) Derive an expression for the radius of the path taken by the sphere as it moves through the magnetic field. X
An experiment is performed in which a beam of electrons is accelerated across the space between the plates and
passes through the small opening. After passing through the opening, the electrons travel in a semicircular path
and strike the right-hand plate. The potential difference between the plates is varied in regular increments, as
shown in the table below. For each potential difference, the magnetic field is varied in order to cause the beam to
strike the right-hand plate at a distance of 0.020 m from the opening.
Potential difference (V)
60
70
100
110
120
140
Magnetic field (T x 10-3)
2.62
2.78
3.39
3.54
3.78
3.99
(d) Indicate below which quantities should be graphed to yield a straight line whose slope could be used to
calculate a numerical value for the mass-to-charge ratio of an electron.
Vertical axis:
Horizontal axis:
Use the remaining columns in the table above, as needed, to record any quantities that you indicated that are
not given. Label each column you use and include units.
(e) On the graph below, plot the relationship determined in part (d). Clearly scale and label all axes, including
units, if appropriate. Draw a straight line that best represents the data.
(f) Using the straight line from part (e), determine the mass-to-charge ratio of an electron.
Transcribed Image Text:An experiment is performed in which a beam of electrons is accelerated across the space between the plates and passes through the small opening. After passing through the opening, the electrons travel in a semicircular path and strike the right-hand plate. The potential difference between the plates is varied in regular increments, as shown in the table below. For each potential difference, the magnetic field is varied in order to cause the beam to strike the right-hand plate at a distance of 0.020 m from the opening. Potential difference (V) 60 70 100 110 120 140 Magnetic field (T x 10-3) 2.62 2.78 3.39 3.54 3.78 3.99 (d) Indicate below which quantities should be graphed to yield a straight line whose slope could be used to calculate a numerical value for the mass-to-charge ratio of an electron. Vertical axis: Horizontal axis: Use the remaining columns in the table above, as needed, to record any quantities that you indicated that are not given. Label each column you use and include units. (e) On the graph below, plot the relationship determined in part (d). Clearly scale and label all axes, including units, if appropriate. Draw a straight line that best represents the data. (f) Using the straight line from part (e), determine the mass-to-charge ratio of an electron.
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