An electron is projected with uniform velocity along the axis of a current carrying long solenoid. Which of the following is true?

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The electron will be accelerated along the axis.

The electron path will be circular about the axis.

The electron will experience a force at 45^o to the axis and hence execute a helical path.

The electron will continue to move with uniform velocity along the axis of the solenoid.

answer is D.

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Detailed Solution

The magnetic field inside the long current carrying solenoid is uniform. Therefore, magnitude of force on the electron of charge -e is given by $F = - evBsinθ = 0 (θ = 0^{o})$ as magnetic field and velocity are parallel. The electron will continue to move with uniform velocity along the axis of the solenoid.

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