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One end of a spring of negligible unstretched length and spring constant \( k \) is fixed at the origin \( (0,0) \). A point
\( \mathrm{P} \) particle of mass \( m \) carrying a positive charge \( q \) is attached

W at its other end. The entire system is kept on a smooth horizontal surface. When a point dipole \( \overrightarrow{\mathrm{p}} \) pointing towards the charge \( \mathrm{q} \) is fixed at the origin, the spring gets stretched to a length \( \ell \) and attains a new equilibrium position (see figure below). If the point mass is now displaced slightly by \( \Delta \ell \ll \ell \) from its equilibrium position and released, it is found to oscillate at frequency \( \frac{1}{\delta} \sqrt{\frac{k}{m}} \). The value of \( \delta \) is [JEE Advanced - 2020]
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