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Physics · PYQ NEET UG 2026

हिन्दी

Consider a fixed uniformly charged insulating sphere with radius R and total charge +Q. A point charge -q (q<

  1. A
    \( \sqrt{\frac{3Qq}{4\pi\varepsilon_0 m R}} \)
  2. B
    \( \sqrt{\frac{2Qq}{3\pi\varepsilon_0 m R}} \)
  3. C
    \( \sqrt{\frac{Qq}{3\pi\varepsilon_0 m R}} \)
  4. D
    \( \sqrt{\frac{Qq}{4\pi\varepsilon_0 m R}} \)
View Answer & Solution

Correct answer · Option A

\( \sqrt{\frac{3Qq}{4\pi\varepsilon_0 m R}} \)

Explanation

Using conservation of energy: \( \Delta K + \Delta U = 0 \). \( \frac{1}{2}mv^2 - 0 = \frac{Qq}{4\pi\varepsilon_0 R} - \frac{Qq}{4\pi\varepsilon_0 (3R)} \). Solving gives \( v = \sqrt{\frac{3Qq}{4\pi\varepsilon_0 m R}} \).
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