Question

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

Answer 1

A solenoid is a long coil of wire wrapped in many turns. The magnetic field within a solenoid depends upon the current and density of turns. Its direction depends on the direction of the current.
When a current passes through it, it creates a nearly uniform magnetic field inside or along the axis of the solenoid. Outside the coil or solenoid, that is, at the ends and beyond the magnetic field is small and appears to diverge. This divergence is because the distance from the current carrying solenoid increases.
The distance from the current carrying conductor and the magnetic field are inversely proportional. That is, as distance increases, magnetic field strength decreases.