A point dipole $\vec p =  - {p_0}\hat x$ 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)
  • A$\frac{{\left| {\vec p} \right|}}{{4\pi {\varepsilon _0}{d^2}}},\frac{{ -\vec p}}{{4\pi {\varepsilon _0}{d^3}}}$
  • B$0,\frac{{  \vec p}}{{4\pi {\varepsilon _0}{d^3}}}$
  • C$\frac{{\left| {\vec p} \right|}}{{4\pi {\varepsilon _0}{d^2}}},\frac{{  \vec p}}{{4\pi {\varepsilon _0}{d^3}}}$
  • D$0,\frac{{ - \vec p}}{{4\pi {\varepsilon _0}{d^3}}}$
JEE MAIN 2019, Medium
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