A charged particle of charge \(q\) and mass \(m\) is placed at a distance \(2 R\) from the centre of a vertical cylindrical region of radius \(R\) where magnetic field varies as \(\vec{B}=\left(4 t^2-2 t+6\right) \hat{k}\) where \(t\) is time. Then which of the following statement(s) is/are true?

1. A Induced electric field lines form closed loops
2. B Electric field varies linearly with \(r\) if \(r < R\), where \(r\) is the radial distance from the centerline of the cylinder
3. C The charged particle will move in clockwise direction when viewed from top
4. D Acceleration of the charged particle is \(\frac{7 q}{2 m}\) when \(t=2 \mathrm{sec}\)