x x x xx x x x x xx C XxXx x x x x xx xx xXx x x xx x x x x xx XXXX Xx xx xx x x xxxxx xx x x x x Xxx xx XX x x x x x x xx E *xxxxx x x x x x x XXXX XxX Xxxxx xxxxX O A O B

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**Physics: Motion of a Proton in a Magnetic Field**

**Problem Statement:**
A proton enters a uniform magnetic field into the screen as shown. Which of the following could be its subsequent trajectory?

**Diagram Explanation:**

The diagram showcases a proton entering a magnetic field depicted by "X" symbols indicating that the magnetic field lines are directed into the screen. The proton's initial entry point into the magnetic field is marked by an arrow pointing rightward. Inside the magnetic field, the proton follows a circular path due to the Lorentz force acting upon it.

The proton's possible trajectories after entering the magnetic field are illustrated with five different paths labeled A to E:

- **Path A:** A straight line within the magnetic field (marked by "X" regions), indicating no change in direction.
- **Path B:** A clockwise circular path.
- **Path C:** Another clockwise circular path starting with a smaller radius than Path B.
- **Path D:** A counterclockwise circular path.
- **Path E:** Another counterclockwise circular path starting with a smaller radius than Path D.

**Answer Choices:**
- ○ A
- ○ B
- ○ C
- ○ D
- ○ E

**Context and Explanation:**

When a charged particle such as a proton moves through a magnetic field, it experiences a force perpendicular to both its velocity and the magnetic field direction (the Lorentz force). For a magnetic field directed into the screen and a positively charged proton, this force will cause it to curve in a particular direction, typically resulting in circular or helical motion. The proton will follow a specific trajectory depending on the magnetic field strength, the charge of the proton, and its velocity upon entering the field.

It should be noted that in a uniform magnetic field, positively charged particles like protons will experience a force that will bend their path into circular motion. Therefore, the most accurate trajectory for the proton after entering the field is represented by a circular path (either clockwise or counterclockwise depending on the orientation of the magnetic field and the charge of the particle).
Transcribed Image Text:**Physics: Motion of a Proton in a Magnetic Field** **Problem Statement:** A proton enters a uniform magnetic field into the screen as shown. Which of the following could be its subsequent trajectory? **Diagram Explanation:** The diagram showcases a proton entering a magnetic field depicted by "X" symbols indicating that the magnetic field lines are directed into the screen. The proton's initial entry point into the magnetic field is marked by an arrow pointing rightward. Inside the magnetic field, the proton follows a circular path due to the Lorentz force acting upon it. The proton's possible trajectories after entering the magnetic field are illustrated with five different paths labeled A to E: - **Path A:** A straight line within the magnetic field (marked by "X" regions), indicating no change in direction. - **Path B:** A clockwise circular path. - **Path C:** Another clockwise circular path starting with a smaller radius than Path B. - **Path D:** A counterclockwise circular path. - **Path E:** Another counterclockwise circular path starting with a smaller radius than Path D. **Answer Choices:** - ○ A - ○ B - ○ C - ○ D - ○ E **Context and Explanation:** When a charged particle such as a proton moves through a magnetic field, it experiences a force perpendicular to both its velocity and the magnetic field direction (the Lorentz force). For a magnetic field directed into the screen and a positively charged proton, this force will cause it to curve in a particular direction, typically resulting in circular or helical motion. The proton will follow a specific trajectory depending on the magnetic field strength, the charge of the proton, and its velocity upon entering the field. It should be noted that in a uniform magnetic field, positively charged particles like protons will experience a force that will bend their path into circular motion. Therefore, the most accurate trajectory for the proton after entering the field is represented by a circular path (either clockwise or counterclockwise depending on the orientation of the magnetic field and the charge of the particle).
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