MCQ
Two ions have equal masses but one is singly ionized and second is doubly ionized. They are projected from the same place in a uniform transverse magnetic field with same velocity then:
$(a)$ Both ions will go along circles of equal radii
$(b)$ The radius of circle described by the single ionized charge is double of radius of circle described by doubly ionized charge
$(c)$ Both circle do not touches to each other
$(d)$ Both circle touches to each other
  • A
    $a, c$
  • $b, d$
  • C
    $b, c$
  • D
    $a, d$

Answer

Correct option: B.
$b, d$
b
$\mathrm{r}=\frac{\mathrm{mv}}{\mathrm{qB}} \propto \frac{1}{\mathrm{q}}(\mathrm{m}, \mathrm{v}, \mathrm{B} \text { same })$

$\frac{\mathrm{r}_{1}}{\mathrm{r}_{2}}=\frac{2 \mathrm{q}}{\mathrm{q}} \Rightarrow \mathrm{r}_{1}=2 \mathrm{r}_{2}$

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