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Question 14

An electron is allowed to move with constant velocity along the axis of current carrying straight solenoid.
(A) The electron will experience magnetic force along the axis of the solenoid.
(B) The electron will not experience magnetic force.
(C) The electron will continue to move along the axis of the solenoid.
(D) The electron will be accelerated along the axis of the solenoid.
(E) The electron will follow parabolic path-inside the solenoid.
Choose the correct answer from the option given below:

Inside a solenoid, the magnetic field is uniform and directed along the axis.

When an electron moves with constant velocity along the axis of the solenoid, its velocity $$\vec{v}$$ is parallel to the magnetic field $$\vec{B}$$.

The magnetic force on the electron is:

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

Since $$\vec{v} \parallel \vec{B}$$, the cross product $$\vec{v} \times \vec{B} = 0$$.

Therefore:

(B) The electron will not experience magnetic force — True

(C) The electron will continue to move along the axis — True (no force to change its motion)

(A) Force along axis — False (no force at all)

(D) Accelerated along axis — False

(E) Parabolic path — False

The correct answer is B and C only.

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