Electrostatics Ques 10

  1. Two equal negative charges $-q$ are fixed at points $(0,-a)$ and $(0, a)$ on $y$-axis. A positive charge $Q$ is released from rest at the point $(2 a, 0)$ on the $x$-axis. The charge $Q$ will $(1984,2 \mathrm{M})$

(a) execute simple harmonic motion about the origin

(b) move to the origin and remain at rest

(c) move to infinity

(d) execute oscillatory but not simple harmonic motion

Show Answer

Answer:

Correct Answer: 10.(d)

Solution:

Formula:

Electric Potential:

Motion is simple harmonic only if $Q$ is released from a point very close to the origin on $x$-axis. Otherwise motion is periodic but not simple harmonic.



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