A uniform magnetic field exists in the plane of paper as shown in the diagram. In this field, an electron (e−) and a positron (p+) enter as shown. The electron and positron experience forces :
pointing into the plane of the paper and out of the plane of the paper respectively.
pointing out of the plane of the paper and into the plane of the paper respectively.
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The Correct Option isA
Solution and Explanation
Step 1: Understand the setup
- A uniform magnetic field is acting to the right, in the plane of the paper.
- An electron (e⁻) and a positron (p⁺) are both entering the field with their velocity directed upward (perpendicular to the magnetic field).
Step 2: Apply the right-hand rule for magnetic force
The magnetic force on a charged particle is given by:
F = q (v × B)
- For a positive charge (positron), use the right-hand rule: Point fingers in the direction of velocity (up), palm in the direction of the field (right), then the thumb points in the direction of force (into the plane of paper).
- For a negative charge (electron), the direction of force is opposite to that for a positive charge using the same rule. So, for the electron, the force also points into the plane of paper.
Step 3: Conclusion
Both the electron and positron experience forces pointing into the plane of the paper.
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