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MHT CET 2021 (21 Sep, Shift 1) · Dielectrics

Dielectrics question from MHT CET 2021 (21 Sep, Shift 1)

Q71MHT CET 2021 · 21 SEP · SHIFT 1Easy

Dielectrics

An air filled parallel plate capacitor has a capacity 2 pF2\text{ pF}. The sepeartion of the plates is doubled and the interspace between the plates is filled with dielectric material, then the capacity is increased to 6 pF6\text{ pF}. The dielectric constant of the material is

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Answer: (b)

  1. C′=Kε0A2d=K2CC' = \frac{K\varepsilon_0 A}{2d} = \frac{K}{2}C
  2. 6=K2×26 = \frac{K}{2} \times 2
  3. K=6K = 6
  4. So the answer is (b) 6.
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