Electrostatics 1 Question 11
11. 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 $(1984,2 M)$
(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
Passage Based Questions
Passage
The nuclear charge $(Z e)$ is non-uniformly distributed within a nucleus of radius $R$. The charge density $\rho(r)$ (charge per unit volume) is dependent only on the radial distance $r$ from the centre of the nucleus as shown in figure. The electric field is only along the radial direction.
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Answer:
Correct Answer: 11. (d)
Solution:
- Motion is simple harmonic only if $Q$ is released from a point not very far from the origin on $x$-axis. Otherwise motion is periodic but not simple harmonic.
