A particle of mass \( 1 \, \text{mg} \) and charge \( q \) is lying at the mid-point of two stationary particles kept at a distance '\( 2 \, \text{m} \)' when each is carrying same charge '\( q \)'. If the free charged particle is displaced from its equilibrium position through distance '\( x \)' (\( x \ll 1 \, \text{m} \)). The particle executes SHM. Its angular frequency of oscillation will be __________ \( \times 10^{5} \, \text{rad/s} \) if \( q^{2} = 10 \, c^{2} \).
