A proton, a deuteron and an `alpha`- particle having the same kinetic energy are moving in circular trajectors in a constant magnetic field. If `r_p, r_d` and `r_(alpha)` denote respectively the radii of the trajectories of these particles thenA. `r_(alpha)=r_pltr_d`B. `r_(alpha)gtr_dgtr_p`C. `r_(alpha)=r_dgtr_p`D. `r_p=r_d=r_(alpha)`

A proton, a deuteron and an `alpha`- particle having the same kinetic

1.	A proton, a deuteron and an `alpha`- particle having the same kinetic energy are moving in circular trajectors in a constant magnetic field. If `r_p, r_d` and `r_(alpha)` denote respectively the radii of the trajectories of these particles thenA. `r_(alpha)=r_pltr_d`B. `r_(alpha)gtr_dgtr_p`C. `r_(alpha)=r_dgtr_p`D. `r_p=r_d=r_(alpha)`
Answer» Radius of the circular path is given by `r=(mv)/(Bq)=sqrt((2Km))/(Bq)` Here `K` is the kinetic energy to the particle, Therefore, `rpropsqrtm/q` if `K` and `B` are same `r_p:r_d=r_(alpha)=sqrt1/1:sqrt2/1:sqrt4/1=1:sqrt2:1` Hence, `r_(alpha)=r_pltr_d` `:.` correct option is a.

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