One end of a spring of negligible unstretched length and spring constant k is fixed at the origin(0,0). A point particle of mass m carrying a positive charge q is attached at its other end. The entire system is kept on a smooth horizontal surface. When a point dipole→ppointing towards the charge q is fixed at the origin, the spring gets stretched to a length l and attains a new equilibrium position (see figure below). If the point mass is now displaced slightly byΔl<<l from its equilibrium position and released, it is found to oscillate at frequency1δ√km. The value of δ is

One end of a spring of negligible unstretched length and spring consta

1.	One end of a spring of negligible unstretched length and spring constant k is fixed at the origin(0,0). A point particle of mass m carrying a positive charge q is attached at its other end. The entire system is kept on a smooth horizontal surface. When a point dipole→ppointing towards the charge q is fixed at the origin, the spring gets stretched to a length l and attains a new equilibrium position (see figure below). If the point mass is now displaced slightly byΔl<<l from its equilibrium position and released, it is found to oscillate at frequency1δ√km. The value of δ is
Answer» One end of a spring of negligible unstretched length and spring constant $k$ is fixed at the origin $(0, 0)$ . A point particle of mass $m$ carrying a positive charge $q$ is attached at its other end. The entire system is kept on a smooth horizontal surface. When a point dipole $\to p$ pointing towards the charge $q$ is fixed at the origin, the spring gets stretched to a length $l$ and attains a new equilibrium position (see figure below). If the point mass is now displaced slightly by $Δ l << l$ from its equilibrium position and released, it is found to oscillate at frequency $\frac{1}{δ} \sqrt{\frac{k}{m}}$ . The value of $δ$ is

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