One end of a spring of negligible unstretched length and spring constant k is fixed at the origin (0, 0). A 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 some positive point charge ‘q’ is fixed at the origin, the spring get stretched to a length $l$ and attains a new equilibrium position and at rest. If the spring is elongated slightly from equilibrium and released, it is found that

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When particle move from mean position to extreme position then modulus of change in potential energy of spring is equal to modulus of change in electrostatic potential energy (for very small amplitude)

Particle oscillate with time period $T = 2 π \sqrt{\frac{m}{3 k}}$

When particle move from mean position to extreme position then modulus of change in potential energy of spring is half modulus of change in electrostatic potential energy (for very small amplitude).

Particle oscillate with time period $T = π \sqrt{\frac{m}{3 k}}$

answer is A, C.

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