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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 \( \mathrm{d} \) are, respectively: (Take \( V=0 \) at infinity)
(1) \( \frac{|\vec{p}|}{4 \pi \varepsilon_{0} d^{2}}, \frac{-\vec{p}}{4 \pi \varepsilon_{0} d^{3}} \)
(2) \( 0, \frac{\vec{p}}{4 \pi \varepsilon_{0} d^{3}} \)
(3) \( \frac{|\vec{p}|}{4 \pi \varepsilon_{0} d^{2}}, \frac{\vec{p}}{4 \pi \varepsilon_{0} d^{3}} \)
(4) \( 0, \frac{-\vec{p}}{4 \pi \varepsilon_{0} d^{3}} \)
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