Question: Q. 1. Two charged particles traverse identical helical paths in a completely opposite sense in a uniform magnetic field $B=B_{0} \hat{k}$.

(a) They have equal $z$-components of momenta.

(b) They must have equal charges.

(c) They necessarily represent a particleantiparticle pair.

(d) The charge to mass ratio satisfy : $\left(\frac{e}{m}\right){1}+\left(\frac{e}{m}\right){2}=0$.

[NCERT Exemplar]

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Solution:

Ans. Correct option : (d)

Explanation : When charge/mass ratio of these two particles are same and charges on them are of opposite nature then the charged particles will traverse identical helical paths in a completely opposite sense.

i.e., $\quad:\left(\frac{e}{m}\right){1}+\left(\frac{e}{m}\right){2}=0$



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