Five equal-mass particles (A-E) enter a region of uniform magnetic field directed into the page. They follow the trajectories illustrated below. Which particle (if any) is neutral? Select all apply. а O XXXXXX x xxx xxxxxxx x XXXX X X X X X X X X *XXXX x x x x x x x x = x x x XXXXXXXX XXXX XXXXXXXX x xxx A B D E x X X X X ABCDE none of the above 6. Which particle (if any is negative? Select all apply C. Which partide (if any) is poctive? Select all apply Please explain thoroughly.
Five equal-mass particles (A-E) enter a region of uniform magnetic field directed into the page. They follow the trajectories illustrated below. Which particle (if any) is neutral? Select all apply. а O XXXXXX x xxx xxxxxxx x XXXX X X X X X X X X *XXXX x x x x x x x x = x x x XXXXXXXX XXXX XXXXXXXX x xxx A B D E x X X X X ABCDE none of the above 6. Which particle (if any is negative? Select all apply C. Which partide (if any) is poctive? Select all apply Please explain thoroughly.
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![### Magnetic Fields and Particle Motion
Five equal-mass particles (A–E) enter a region of uniform magnetic field directed into the page. They follow the trajectories illustrated below. Based on their paths, answer the following questions:
### Questions:
**a. Which particle (if any) is neutral? Select all that apply.**
**b. Which particle (if any) is negative? Select all that apply.**
**c. Which particle (if any) is positive? Select all that apply.**
Please explain thoroughly.
### Diagram Explanation:
The diagram shows five particles labeled A through E entering a region of uniform magnetic field with the field directed into the page, as indicated by the 'X' symbols representing the field lines going into the page. The trajectories of the particles are recorded as they move through the field:
- **Particle A** follows a curved path to the left (green trajectory).
- **Particle B** follows a curved path to the left but with a smaller radius than A (red trajectory).
- **Particle C** moves straight down (orange trajectory).
- **Particle D** follows a curved path to the right with a small radius (pink trajectory).
- **Particle E** follows a curved path to the right with a larger radius than D (purple trajectory).
### Options for Answer Choices:
- A
- B
- C
- D
- E
- none of the above (for neutral particle identification)
### Checkboxes for Answers:
- [ ] A
- [ ] B
- [ ] C
- [ ] D
- [ ] E
- [ ] None of the above
---
### Explanation for Answers:
When a charged particle enters a magnetic field, it experiences a force perpendicular to both its velocity and the field direction, causing it to move in a circular or helical path. A neutral particle, however, will continue moving in a straight line as it doesn't experience this force.
- **Particle C** moves straight down, indicating it is not deflected by the magnetic field. Therefore, it is **neutral**.
- **Particles A and B** curve to the left. Using the right-hand rule (in the context of positive charges), if the thumb points in the direction of velocity and fingers point in the direction of the magnetic field (into the page), the force should curve the particle right if positive. Therefore, if they curve left, they must be **negative**.
- **Particles D and E** curve](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6db204cf-6d84-4f46-99cd-7f54c3524774%2F88276539-0397-42bb-8efe-66d095f1e08d%2F2shpkyn_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Magnetic Fields and Particle Motion
Five equal-mass particles (A–E) enter a region of uniform magnetic field directed into the page. They follow the trajectories illustrated below. Based on their paths, answer the following questions:
### Questions:
**a. Which particle (if any) is neutral? Select all that apply.**
**b. Which particle (if any) is negative? Select all that apply.**
**c. Which particle (if any) is positive? Select all that apply.**
Please explain thoroughly.
### Diagram Explanation:
The diagram shows five particles labeled A through E entering a region of uniform magnetic field with the field directed into the page, as indicated by the 'X' symbols representing the field lines going into the page. The trajectories of the particles are recorded as they move through the field:
- **Particle A** follows a curved path to the left (green trajectory).
- **Particle B** follows a curved path to the left but with a smaller radius than A (red trajectory).
- **Particle C** moves straight down (orange trajectory).
- **Particle D** follows a curved path to the right with a small radius (pink trajectory).
- **Particle E** follows a curved path to the right with a larger radius than D (purple trajectory).
### Options for Answer Choices:
- A
- B
- C
- D
- E
- none of the above (for neutral particle identification)
### Checkboxes for Answers:
- [ ] A
- [ ] B
- [ ] C
- [ ] D
- [ ] E
- [ ] None of the above
---
### Explanation for Answers:
When a charged particle enters a magnetic field, it experiences a force perpendicular to both its velocity and the field direction, causing it to move in a circular or helical path. A neutral particle, however, will continue moving in a straight line as it doesn't experience this force.
- **Particle C** moves straight down, indicating it is not deflected by the magnetic field. Therefore, it is **neutral**.
- **Particles A and B** curve to the left. Using the right-hand rule (in the context of positive charges), if the thumb points in the direction of velocity and fingers point in the direction of the magnetic field (into the page), the force should curve the particle right if positive. Therefore, if they curve left, they must be **negative**.
- **Particles D and E** curve
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