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4.Moving Charges and Magnetism
medium
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
$b, d$
C
$b, c$
D
$a, d$
Solution
$\mathrm{r}=\frac{\mathrm{mv}}{\mathrm{qB}} \propto \frac{1}{\mathrm{q}}(\mathrm{m}, \mathrm{v}, \mathrm{B} \text { same })$
$\frac{\mathrm{r}_{1}}{\mathrm{r}_{2}}=\frac{2 \mathrm{q}}{\mathrm{q}} \Rightarrow \mathrm{r}_{1}=2 \mathrm{r}_{2}$
Standard 12
Physics
