Published by:
CGP EDU Academic Team
Published on: September 11, 2026
Uniform electric and magnetic fields are produced in the same direction. An electron moves in such a way that its velocity remains in the direction of electric field. The electron will –
Text Solution
Verified by ExpertsThe correct answer is:
C
Step 1: Analyze the forces acting on the electron. In an electric field, a charged particle (like an electron) experiences an electric force given by the equation:
$$ F_e = qE $$
where q is the charge of the electron (which is negative), and E is the electric field strength.
Step 2: As the electric field exerts a force in the direction of the field (which is opposite to the direction of the electron due to its negative charge), the electron will experience a force that acts against its motion. This results in deceleration.
Step 3: In addition, the magnetic field produces a magnetic force on a moving charge given by:
$$ F_m = q( extbf{v} imes extbf{B}) $$
where v is the velocity vector of the electron, and B is the magnetic field vector. Since the velocity is aligned with the electric field and, in turn, aligned with the magnetic field, the cross product will yield a force perpendicular to both the velocity and the magnetic field direction. However, since the electric force dominates here, the overall effect will still be deceleration in the direction of motion.
Step 4: Therefore, combining the effects, the electron will get decelerated due to the electric field that acts against its velocity.
Hence, the correct answer is: Option C: get decelerated.
$$ F_e = qE $$
where q is the charge of the electron (which is negative), and E is the electric field strength.
Step 2: As the electric field exerts a force in the direction of the field (which is opposite to the direction of the electron due to its negative charge), the electron will experience a force that acts against its motion. This results in deceleration.
Step 3: In addition, the magnetic field produces a magnetic force on a moving charge given by:
$$ F_m = q( extbf{v} imes extbf{B}) $$
where v is the velocity vector of the electron, and B is the magnetic field vector. Since the velocity is aligned with the electric field and, in turn, aligned with the magnetic field, the cross product will yield a force perpendicular to both the velocity and the magnetic field direction. However, since the electric force dominates here, the overall effect will still be deceleration in the direction of motion.
Step 4: Therefore, combining the effects, the electron will get decelerated due to the electric field that acts against its velocity.
Hence, the correct answer is: Option C: get decelerated.
Prepare Smarter with CGP Edu
Get practice questions, solutions, and test series in one place.
Write a Review
Share your experience with this question and solution.
Commentary
Send your comment, doubt, correction, or feedback to admin.
Similar Questions
Explore conceptually related problems
The distance between the plates of a parallel plate condenser is 4 mm and potential difference betw…
A beam of protons enters a uniform magnetic field of 0.3T with velocity of 4 × 10 5 m/s in a direct…
In a certain region of space electric field and magnetic field are perpendicular to each other an…
A charged particle with velocity 2 × 10 3 m/s passed undeflected through electric and perpendicular…
A charge particle moves in a region having a uniform magnetic field and a parallel, uniform electri…
In a mass spectrometer used for measuring the masses of ions, the ions are initially accelerated by…