An electron and a proton enter a magnetic field perpendicularly. …

MCQ

An electron and a proton enter a magnetic field perpendicularly. Both have same kinetic energy. Which of the following is true

A
Trajectory of electron is less curved
✓
Trajectory of proton is less curved
C
Both trajectories are equally curved
D
Both move on straight-line path

✓

Answer

Correct option: B.

Trajectory of proton is less curved

b
(b) We have $qvB = \frac{{m{v^2}}}{r}$ or $r = \frac{{mv}}{{qB}} = \frac{{\sqrt {2mK} }}{{qB}}$
For same kinetic energy $K$, we have $r \propto \sqrt m $
Hence path of proton will have larger $r$ and is therefore less curved.

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