In this presentation, I will talk about the equilibrium instability of chiral quarkonia in a plasma in the presence of constant magnetic and electric field and at finite axial chemical potential using AdS/CFT duality. We show that the presence of the magnetic field and the axial chemical potential even in the absence of the electric field make the system unstable. I will discuss about the decay rate of equilibrium state and its relation to the meson mass and binding energy.