What does the divergence of magnetic field lines near the ends of a current-carrying straight solenoid indicate?

$(a)$ $A$ coil of insulated copper wire is connected to a galvanometer. What will happen if a bar magnet is:
$(i)$ pushed into the coil with its north pole entering first?
$(ii)$ withdrawn from inside the coil?
$(iii)$ held stationary inside the coil?
$(b)$ Name the above phenomenon and mention the name of the scientist who discovered it. State the law that relates the direction of current in the coil with the direction of motion of the magnet.

No two magnetic field lines can intersect each other. Explain.

Why does a magnetic needle deflect when brought close to a current carrying conductor? Explain the rule to find the direction of force on a current carrying conductor.

To convert an $AC$ generator into a $DC$ generator,

What is the shape of the magnetic field lines around a circular current-carrying conductor?