Question
Two equal positive charges are fixed at points and on the x-axis. An opposite charge at rest is released from a point on the y-axis. The charge will:
move to infinity.
move to the origin and rest there.
undergo SHM about the origin.
execute oscillatory periodic motion but not SHM.
The charge experiences attractive forces from both positive charges . The horizontal components of these forces cancel out, while the vertical components add up to provide a net restoring force directed towards the origin. The magnitude of this force is . For Simple Harmonic Motion (SHM), the restoring force must be directly proportional to the displacement (). Here, the force is proportional to only if (small oscillations). For general release points, the force is non-linear with respect to distance. Therefore, the charge executes oscillatory periodic motion, but it is not SHM. (See NCERT Physics Class 12, Chapter 1).
This question aligns with the NEET PHYSICS syllabus, specifically targeting concepts from ELECTRIC CHARGES AND FIELDS. Mastering this topic is crucial for scoring well in the upcoming medical entrance examinations. Solving conceptually related problems will help you understand the nuances of these concepts and improve your problem-solving speed.
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