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  • A proton, deuteron and particle having the same kinetic energy are moving in circular trajectories in a constant magnetic field. If rp, rd and r<img alt="_{\alpha}"

A proton, deuteron and particle having the same kinetic energy are moving in circular trajectories in a constant magnetic field. If rp, rd and r_{\alpha} denote their radii respectively, the correct order of radii:

Option: 1

r_{\alpha} = rp < rd


Option: 2

r_{\alpha} > rp > rd


Option: 3

r_{\alpha} = rd > rp


Option: 4

rp = rd = r_{\alpha}


Answers (1)

best_answer

\because r = \frac{\sqrt {2mk}}{qB}

So,

r = \frac{\sqrt {m}}{q}

r_{p} \alpha \frac{\sqrt {2m}}{q}

\implies r_{\alpha} = \frac{\sqrt {4m}}{2q}

Hence: rp = r_{\alpha} < rd

r_{\alpha} = rp < rd

Posted by

vishal kumar

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