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Q.

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
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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