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Questions  

An electron and a proton are injected into a uniform magnetic field perpendicular to it with the same momentum. What is the nature of their trjaectories?

a
Both move along circular path and radius of curvature is less for electron.
b
Both move along circular path and radius of curvature is less for proton
c
Radius of curvature is same for both
d
Both move along straight lines.

detailed solution

Correct option is C

Linear momentum p=mV⇒V=pm and angular frequency ω=QB/m. Both of the particles will move along circular path. Radius of curvature, γ=Vω=pm×mQB=pQB charge Q is same for both. So option (3) is right.

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