The magnetic field inside a solenoid is uniform and parallel to the axis of the solenoid. When an electron moves with constant velocity along the axis of the solenoid, the angle between its velocity vector and the magnetic field is 0°.

The magnetic force experienced by a moving charge is given by the Lorentz force formula:

$$\vec{F} = q(\vec{v} \times \vec{B})$$

Since the angle between the velocity vector and the magnetic field is 0°, the cross product term becomes zero:

$$\vec{v} \times \vec{B} = 0$$

Therefore, the magnetic force experienced by the electron is also zero:

$$\vec{F} = 0$$

As a result, the electron will not experience any magnetic force (Option B) and will continue to move along the axis of the solenoid with constant velocity (Option C).

Thus, the correct answer is:

B and C only