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JEE Main PAPER - 1

JEE Main · 2018

180 questions · One at a time

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17
MCQ4 marks

Three concentric metal shells A, B and C of respective radii a, b and c (a<b<c)(a < b < c)   have surface charge densities +σ,−σ+\sigma, -\sigma   and +σ+\sigma   respectively. The potential of shell B is:

  • A.σϵ0[b2−c2b+a]\frac{\sigma}{\epsilon_0}\left[\frac{b^2 - c^2}{b} + a\right]
  • B.σϵ0[b2−c2c+a]\frac{\sigma}{\epsilon_0}\left[\frac{b^2 - c^2}{c} + a\right]
  • C.σϵ0[a2−b2a+c]\frac{\sigma}{\epsilon_0}\left[\frac{a^2 - b^2}{a} + c\right]
  • D.σϵ0[a2−b2b+c]\frac{\sigma}{\epsilon_0}\left[\frac{a^2 - b^2}{b} + c\right]Correct
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