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STD 12 - 1. Electric charges and fields — NEET STD 11 Science — Question

Gujarat BoardEnglish MediumSTD 11 ScienceNEETSTD 12 - 1. Electric charges and fields4 Marks
MCQ
Two equal negative charges are fixed at the points $ [0, a ]$ and $[0, -a]$ on the $y-$ axis. A positive charge $Q$ is released from rest at the points $[2a, 0]$ on the $x-$axis . The charge $Q$ will
  • A
    execute simple harmonic motion about the origin
  • B
    move to the origin and remain at rest
  • C
    move to infinity
  • ✓
    execute oscillatory but not simple harmonic motion.
✓

Answer

Correct option: D.
execute oscillatory but not simple harmonic motion.
d
The net force is given as,

$F_{n}=2 F \cos \theta$

$=2 \times \frac{1}{4 \pi \varepsilon_{0}}\left(\frac{-q Q}{a^{2}+x^{2}}\right) \times\left(\frac{x}{\left(a^{2}+x^{2}\right)^{\frac{1}{2}}}\right)$

Thus, the restoring force is not linear, So, the motion will not be simple harmonic motion but the motion will be oscillatory.

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