A charged particle of charge q and mass m is placed at a distance 2R from the centre of a vertical cylindrical region of radius R where magnetic field varies as \(\rm \vec{B}=\left(4 t^2-2 t+6\right) \hat{k}\), where t is time. Then which of the following statement(s) is/are true ?
1
Induced electric field lines form closed loops.
2
Electric field varies linearly with r if r < R, where r is the radial distance from the centerline of the cylinder.
3
The charged particle will move in clockwise direction when viewed from top.
4
Acceleration of the charged particle is \(\frac{7 \mathrm{q}}{2 \mathrm{~m}}\) when t = 2 sec.