An α \alpha\,α particle, a β−\beta^-β− particle, and a γ \gamma\,γ photon are emitted from a radioactive source and enter a region of uniform magnetic field directed into the page. All three particles travel with the same initial momentum p p\,p perpendicular to the field. Their paths through the field are shown as Path X, Path Y, and Path Z.
Which of the following correctly identifies the paths of the emissions and the relationship between the magnitudes of their radii of curvature, rαr_{\alpha}rα and rβr_{\beta}rβ?
Path X represents the α\alphaα particle, Path Z represents the β−\beta^-β− particle, and rβ=2rαr_{\beta} = 2r_{\alpha}rβ=2rα
Path X represents the β−\beta^-β− particle, Path Z represents the α\alphaα particle, and rα=2rβr_{\alpha} = 2r_{\beta}rα=2rβ
Path X represents the α\alphaα particle, Path Z represents the β−\beta^-β− particle, and rα=2rβr_{\alpha} = 2r_{\beta}rα=2rβ
Path X represents the β−\beta^-β− particle, Path Z represents the α\alphaα particle, and rβ=2rαr_{\beta} = 2r_{\alpha}rβ=2rα