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  • Two charged particles traverse identical helical paths in a completely opposite sense in a uniform magnetic field, <img alt="\vec{B}=B_0 \hat{k}" src="https://entrancecorner.oncodecogs.co

Two charged particles traverse identical helical paths in a completely opposite sense in a uniform magnetic field, \vec{B}=B_0 \hat{k}

Option: 1

They have equal z-components of momenta


Option: 2

They must have equal charges


Option: 3

They necessarily represent a particle-antiparticle pair


Option: 4

The charge to mass ratio satisfy \left(\frac{q}{m}\right)_1+\left(\frac{q}{m}\right)_2=0


Answers (1)

best_answer

The radius of the helical path, r=\frac{v \sin \theta}{(q / m) B} and the displacement of the charged particle along the magnetic field is one rotation \frac{2 \pi v \cos \theta}{(q / m) B}

Two charged particles will traverse identical helical paths in the opposite sense is \frac{q}{m} for both the particle is the same and opposite.

Posted by

Sanket Gandhi

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