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MHT CET 202623 AprilMorning Shift
Exam
MHT CET
Year
2026
Date
23 April
Shift
Morning Shift
Subject
Physics
Chapter
Magnetic Effects of Current

MHT CET 2026 · 23 April · Morning Shift · Physics · Magnetic Effects of Current

An electron is projected with uniform velocity along the axis of a...

An electron is projected with uniform velocity along the axis of a current carrying long solenoid. Which of the following is true?
a. The electron will be accelerated along the axis.
b. The electron path will be circular about the axis.
c. The electron will experience a force at 45∘45^\circ to the axis and hence execute a helical path.
d. The electron will continue to move with uniform velocity along the axis of the solenoid.

Options

  1. Ac
  2. Ba
  3. Cd
  4. Db

Correct answer

C. d

Step-by-step solution

The magnetic field inside a long current-carrying solenoid is uniform and directed along its axis.

The electron is projected with a uniform velocity along the axis of the solenoid, which means its velocity vector v⃗\vec{v} is parallel or anti-parallel to the magnetic field vector B⃗\vec{B}.

The magnetic force experienced by a moving charge is given by F⃗=q(v⃗×B⃗)\vec{F} = q(\vec{v} \times \vec{B}).

Since the angle θ\theta between v⃗\vec{v} and B⃗\vec{B} is either 0∘0^\circ or 180∘180^\circ, the cross product v⃗×B⃗=vBsin⁡θ=0\vec{v} \times \vec{B} = vB\sin\theta = 0.

Therefore, the magnetic force acting on the electron is zero. In the absence of any force, the electron will not accelerate and will continue to move with its initial uniform velocity along the axis of the solenoid.

Answer: d
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