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JEE Main 2026 (23 Jan, Shift 2) · Dielectrics

Dielectrics question from JEE Main 2026 (23 Jan, Shift 2)

Q14JEE Main 2026 · 23 JAN · SHIFT 2Medium

Dielectrics

A parallel plate capacitor with plate separation 5 mm is charged by a battery. On introducing a mica sheet of 2 mm and maintaining the connections of the plates with the terminals of the battery, it is found that it draws 25%25\% more charge from the battery. The dielectric constant of mica is ______

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Answer: (d)

  1. Battery connected, so Q∝CQ \propto C: C′=1.25CC' = 1.25C.
  2. C′C=dd−t+tK=53+2K=1.25\frac{C'}{C} = \frac{d}{d - t + \frac{t}{K}} = \frac{5}{3 + \frac{2}{K}} = 1.25.
  3. 3+2K=4⇒K=23 + \frac{2}{K} = 4 \Rightarrow K = 2.
  4. So the answer is (d) 2.0.
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