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Electrostatics question

2018 · Shift 0 · Q53
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Electrostatics question

2018 · Shift 0 · Q53

JEE MainPhysicsElectrostaticsMCQ+4 / −1
Three concentric metal shells A, B and C of respective radii a, b and c (a < b < c) have surface charge densities +σ+ \sigma+σ, −σ- \sigma−σ and +σ+ \sigma+σ respectively. The potential of shell B is :
  1. A
    σ∈0[b2−c2c+a]{\sigma \over { \in {}_0}}\left[ {{{{b^2} - {c^2}} \over c} + a} \right]∈0​σ​[cb2−c2​+a]
  2. B
    σ∈0[a2−b2a+c]{\sigma \over { \in {}_0}}\left[ {{{{a^2} - {b^2}} \over a} + c} \right]∈0​σ​[aa2−b2​+c]
  3. C
    σ∈0[a2−b2b+c]{\sigma \over { \in {}_0}}\left[ {{{{a^2} - {b^2}} \over b} + c} \right]∈0​σ​[ba2−b2​+c]
  4. D
    σ∈0[b2−c2b+a]{\sigma \over { \in {}_0}}\left[ {{{{b^2} - {c^2}} \over b} + a} \right]∈0​σ​[bb2−c2​+a]
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