Simple Harmonic Motion 3 Question 12
12. A thin fixed ring of radius has a positive charge uniformly distributed over it. A particle of mass and having a negative charge of is placed on the axis at a distance of from the centre of the ring. Show that the motion of the negatively charged particle is approximately simple harmonic. Calculate the time period of oscillations.
(1982, 5M)
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Answer:
Correct Answer: 12.
Solution:
- Given,
Electric field at a distance
If
Net force on negatively charged particle would be
as
Substituting the values, we get