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Question

Proton, deuteron and alpha particle of the same kinetic energy are moving in circular field. The radii of proton, deuteron and alpha particle are respectively rp, rd and rα. Which one of the following relations is correct?


Your Answer
A
rα=rp=rd
Correct Answer
B
rα=rp<rd
Your Answer
C
rα>rd>rp
Your Answer
D
rα=rd<rd

Solution

The correct options are
B rα=rp<rd
We know that for proton, deuteron and alpha particle, mass ratio is 1:2:4 and charge ratio is 1:1:2.

r=2mkBq
which implies that rmq

This results in : rα=rp<rd

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