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Electrostatics question

2003 · Shift 0 · Q168
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Electrostatics question

2003 · Shift 0 · Q168

JEE MainPhysicsElectrostaticsMCQ+4 / −1
A thin spherical conducting shell of radius RRR has a charge q.q.q. Another charge QQQ is placed at the center of the shell. The electrostatic potential at a point PPP a distance R2{R \over 2}2R​ from the center of the shell is
  1. A
    2Q4πε0R{{2Q} \over {4\pi {\varepsilon _0}R}}4πε0​R2Q​
  2. B
    2Q4πε0R−2q4πε0R{{2Q} \over {4\pi {\varepsilon _0}R}} - {{2q} \over {4\pi {\varepsilon _0}R}}4πε0​R2Q​−4πε0​R2q​
  3. C
    2Q4πε0R+q4πε0R{{2Q} \over {4\pi {\varepsilon _0}R}} + {q \over {4\pi {\varepsilon _0}R}}4πε0​R2Q​+4πε0​Rq​
  4. D
    (q+Q)24πε0R{{\left( {q + Q} \right)2} \over {4\pi {\varepsilon _0}R}}4πε0​R(q+Q)2​
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