An electron, a proton, a deuteron and an alpha particle, each having speed v, are in a region of constant magnetic . field perpendicular to the direction of the velocities of the particles. The radius of the circular orbits of these particles are respectively Re, Rp, Rd and Rα. It follows that
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a
Re = Rp
b
Rp = Rd
c
Rd =Rα
d
Rp =Rα
answer is C.
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Detailed Solution
By using r = mvqB = vqmB ⇒ r ∝ 1q/m∵ qme− > qmp+ > qmd = qmα∴ Rd = Rα