QJEEM22Ph9668: JEE Main 2022 Physics - Class 12 JEEM22Ph9668 Solution: Two charged particles, having same kinetic energy, are allowed…

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QJEEM22Ph9668: JEE Main 2022 Physics - Class 12 JEEM22Ph9668 Solution: Two charged particles, having same kinetic energy, are allowed…

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 :

Multiple Choice Options

A 8:05
B 5:04
C 5:03
D 8:07

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Accepted Answer

We know that $R = \frac{m v}{B q} = \sqrt{\frac{2 m K}{B q}}$

$\Rightarrow$ Ratio of radii $= \frac{R_{1}}{R_{2}} = \sqrt{\frac{m_{1}}{m_{2}}} \frac{q_{2}}{q_{1}}$

$\Rightarrow \frac{6}{5} = \sqrt{\frac{9}{4}} \frac{q_{2}}{q_{1}}$

$\Rightarrow \frac{q_{1}}{q_{2}} = \frac{3}{2} \times \frac{5}{6} = \frac{5}{4}$

QJEEM22Ph9668: JEE Main 2022 Physics - Class 12 JEEM22Ph9668 Solution: Two charged particles, having same kinetic energy, are allowed…

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