Proton, deuteron and alpha particle of same kinetic energy are moving in circular trajectories in a

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4.Moving Charges and Magnetism

medium

Proton, deuteron and alpha particle of same kinetic energy are moving in circular trajectories in a constant magnetic field. The radii of proton, deuteron and alpha particle are respectively $r_p, r_d$ and $r_{\alpha}$ Which one of the following relation is correct?

A

$r_{\alpha} = r_d > r_p$

B

$r_{\alpha} = r_p = r_d$

C

$r_{\alpha} = r_p < r_d$

D

$r_{\alpha} > r_d > r_p$

(AIEEE-2012) (IIT-1997)

Solution

$r=\frac{\sqrt{2 m v}}{q B} \Rightarrow r \times v \frac{\sqrt{m}}{q}$

Thus we have, ${r_p} < {r_d}$

Standard 12

Physics

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