Two point charges \(-4 \mu c\) and \(4 \mu c\), constituting an electric dipole, are placed at \((-9,0,0)\mathrm{cm}\)an…

Two point charges \(-4 \mu c\) and \(4 \mu c\), constituting an electric dipole, are placed at \((-9,0,0)\mathrm{cm}\)and \((9,0,0) \mathrm{cm}\) in a uniform electric field of strength \({10}^{4}{\mathrm{NC}}^{-1}\). The work done on the dipole in rotating it from the equilibrium through \(180^\circ\) is :

[JEE Main 2025, 23 Jan (Shift 2)]