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Electrostatics question

2019 · 12 Apr · Shift 1 · Q55
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Electrostatics question

2019 · 12 Apr · Shift 1 · Q55

JEE MainPhysicsElectrostaticsMCQ+4 / −1
A point dipole p→=−p0x^\overrightarrow p = - {p_0}\widehat xp​=−p0​x is kept at the origin. The potential and electric field due to this dipole on the y-axis at a distance d are, respectively: (Take V= 0 at infinity)
  1. A
    ∣p→∣4π∈0d2,−p→4π∈0d3{{\left| {\overrightarrow p } \right|} \over {4\pi { \in _0}{d^2}}},{{ - \overrightarrow p } \over {4\pi { \in _0}{d^3}}}4π∈0​d2​p​​​,4π∈0​d3−p​​
  2. B
    0,p→4π∈0d30,{{\overrightarrow p } \over {4\pi { \in _0}{d^3}}}0,4π∈0​d3p​​
  3. C
    ∣p→∣4π∈0d2,p→4π∈0d3{{\left| {\overrightarrow p } \right|} \over {4\pi { \in _0}{d^2}}},{{\overrightarrow p } \over {4\pi { \in _0}{d^3}}}4π∈0​d2​p​​​,4π∈0​d3p​​
  4. D
    0,−p→4π∈0d30,{{ - \overrightarrow p } \over {4\pi { \in _0}{d^3}}}0,4π∈0​d3−p​​
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