Home Physics Moving Charge and Magnetism Mix An electron and proton enter a magnetic fiel…
Physics Moving Charge and Magnetism Mix MCQ (Single Correct)

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

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

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Text Solution

Verified by Experts
The correct answer is:
B

When a charged particle enters a magnetic field perpendicularly, it moves on a circular path. The required centripetal force is provided by magnetic force.

i.e., magnetic force = Centripetal force

or

∴ r =

Now kinetic energy of the particle,

K =

⇒ mv = ….(i)

Therefore, Eq. (i) becomes

r =

or r ∝

As m e < m p ; so, r e < r p

Hence, trajectory of proton is less curved.

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