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>> $Protons and alpha - particles of equal m$

Question

Protons and $α$ -particles of equal momenta enter a uniform magnetic field normally. The radii of their orbits will have the ratio

A

1

B

2

C

0.5

D

4

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Solution

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Correct option is B)

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

$= \frac{p}{q B} \Rightarrow \frac{r _{p}}{r _{α}}$

$= \frac{q _{α}}{q _{p}} = \frac{2 e}{e} = \frac{2}{1}$

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