Ionized hydrogen atoms and α -particles with same momenta enters perpendicular to a constant magnet

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4.Moving Charges and Magnetism

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Ionized hydrogen atoms and $\alpha$ -particles with same momenta enters perpendicular to a constant magnetic field $B$. The ratio of their radii of their paths $\mathrm{r}_{\mathrm{H}}: \mathrm{r}_{\alpha}$ will be

A

$2:1$

B

$1:2$

C

$4:1$

D

$1:4$

(NEET-2019)

Solution

$\frac{\mathrm{q}_{\mathrm{H}}}{\mathrm{q}_{\mathrm{\alpha}}}=\frac{1}{2}$

$r=\frac{m v}{q B}$

For same momenta, $r \propto \frac{1}{q}$

$\frac{r_{H}}{r_{\alpha}}=\frac{q_{\alpha}}{q_{H}}=\frac{2}{1}$

Standard 12

Physics

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