Two particles $\mathrm{X}$ and $\mathrm{Y}$ having equal charges are being accelerated through the same potential difference. Thereafter they enter normally in a region of uniform magnetic field and describes circular paths of radii $R_1$ and $R_2$ respectively. The mass ratio of $\mathrm{X}$ and $\mathrm{Y}$ is :
A $\left(\frac{R_2}{R_1}\right)^2$
B $\left(\frac{R_1}{R_2}\right)^2$
C $\left(\frac{R_1}{R_2}\right)$
D $\left(\frac{R_2}{R_1}\right)$
JEE MAIN 2024,IIT 1988, Medium
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B $\left(\frac{R_1}{R_2}\right)^2$
b $ \mathrm{R}=\frac{\mathrm{mv}}{\mathrm{qB}}=\frac{\mathrm{p}}{\mathrm{qB}}=\frac{\sqrt{2 \mathrm{~m}(\mathrm{KE})}}{\mathrm{qB}}=\frac{\sqrt{2 \mathrm{mqV}}}{\mathrm{qB}} $
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