CameraIcon
CameraIcon
SearchIcon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

An electron and a proton enter a magnetic field perpendicularly, both have same kinetic energy. Which of the following statements are true?

A
Trajectory of proton is less curved
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
Trajectory of electron is less curved
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
C
Both trajectories are equally curved
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
Both move on straight line path
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is B Trajectory of electron is less curved
When a charged particle enters a magnetic field perpendicularly, it moves on a circular path. The required centripetal force is provided by the magnetic force.
i.e., Magnetic force = Centripetal force
qvB=mv2r ....(i)
Now, kinetic energy of the particle
k=12mv2
mv=2mk
Therefore, equation (i) becomes
r=2mkqBrerp=memp
As, me<mp; so, re<rp
Hence, trajectory of electron is less curved.

flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Factorization of Polynomials
PHYSICS
Watch in App
Join BYJU'S Learning Program
CrossIcon