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JIPMER 2013
Exam
JIPMER
Year
2013
Subject
Physics
Chapter
Oscillations

JIPMER 2013 · Physics · Oscillations

Two equal negative charges -q are fixed at the point (0, a) and...

Two equal negative charges −q-q are fixed at the point (0,a)(0, a) and (0,−a)(0,-a) on the yy-axis. A positive charge QQ is released from rest at the point (2a,0)(2 a, 0) on the xx-axis. The charge willTwo equal negative charges -q are fixed at the point (0, a) and (0,-a) on the y -axis. A positive charge Q is released

Options

  1. Aexecute SHM about the origin
  2. Bmove to the origin and remain at rest
  3. Cmove to infinity
  4. Dexecute oscillatory but not SHM

Correct answer

D. execute oscillatory but not SHM

Step-by-step solution

Component of force on charge of +Q+Q at PP, along xx-axis, Fx=2Qq4πε0(a2+x2)×xa2+x2=2Qqx4πε0(a2+x2)×xa2+x2=2Qqx4πε0(a2+x2)3/2\begin{aligned} F_x & =\frac{2 Q q}{4 \pi \varepsilon_0\left(a^2+x^2\right)} \times \frac{x}{\sqrt{a^2+x^2}} \\ & =\frac{2 Q q x}{4 \pi \varepsilon_0\left(a^2+x^2\right)} \times \frac{x}{\sqrt{a^2+x^2}} \\ & =\frac{2 Q q x}{4 \pi \varepsilon_0\left(a^2+x^2\right)^{3 / 2}}\end{aligned} Two equal negative charges -q are fixed at the point (0, a) and (0,-a) on the y -axis. A positive charge Q is released Which is not directly proportional to xx. So, motion is oscillatory but not SHM.
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