Published by:
CGP EDU Academic Team
Published on: September 12, 2026
The radius of circular path of an electron when subjected to a perpendicular magnetic field is
Text Solution
Verified by ExpertsThe correct answer is:
C
To derive the radius of the circular path of an electron in a magnetic field, we use the formula:
$$ r = \frac{mv}{qB} $$
where:
- $r$ is the radius of the path,
- $m$ is the mass of the electron,
- $v$ is the velocity of the electron,
- $q$ is the charge of the electron,
- $B$ is the magnetic field strength.
Since electrons have a specific mass (approximately $9.11 \times 10^{-31}$ kg) and charge (approximately $1.6 \times 10^{-19}$ C), by substituting these values and solving for $r$, we would find that Option C correctly represents this relationship.
$$ r = \frac{mv}{qB} $$
where:
- $r$ is the radius of the path,
- $m$ is the mass of the electron,
- $v$ is the velocity of the electron,
- $q$ is the charge of the electron,
- $B$ is the magnetic field strength.
Since electrons have a specific mass (approximately $9.11 \times 10^{-31}$ kg) and charge (approximately $1.6 \times 10^{-19}$ C), by substituting these values and solving for $r$, we would find that Option C correctly represents this relationship.
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
A proton moving with a constant velocity passes through a region of space without any change in its…
A uniform electric field and a uniform magnetic field are produced, pointed in the same direction. …
Two particles X and Y having equal charges, after being accelerated through the same potential diff…
A beam of ions with velocity enters normally into a uniform magnetic field of . If the specific c…
The radius of curvature of the path of the charged particle in a uniform magnetic field is directly…
An electron has mass and charge is moving with a velocity of , enters a region where magnetic fi…