Electric dipole of moment \( \vec{p}=p \hat{i} \) is kept at a point \( (x, y) \) in an electric...

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Electric dipole of moment \( \vec{p}=p \hat{i} \) is kept at a point \( (x, y) \) in an electric field \( \vec{E}=4 x y^{2} \hat{i}+4 x^{2} y \hat{j} \). Find the force on the dipole.
(1) \( 4 p y^{2} \)
(2) \( 4 p y\left(y^{2}+2 x^{2}\right)^{1 / 2} \)
(3) \( 4 p y^{2}+8 p x y \)
(4) \( 4 p y\left(y^{2}+4 x^{2}\right)^{1 / 2} \)
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