Two charged particles, having same kinetic energy, are allowed to pass through a uniform magnetic field perpendicular to the direction of motion. If the ratio of radii of their circular paths is $6: 5$ and their respective masses ratio is $9: 4$. Then, the ratio of their charges will be.
JEE MAIN 2022, Medium
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Radius of circular path $R =\frac{\sqrt{2 mk }}{ qB }$
$q =\frac{\sqrt{2 mk }}{ RB }$
$\frac{ q _{1}}{ q _{2}}=\sqrt{\frac{ m _{1}}{ m _{2}}} \times \frac{ R _{2}}{ R _{1}}=\sqrt{\frac{9}{4}} \times \frac{5}{6}=\frac{5}{4}$
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