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two particles X and Y having equal charges , after being accelerated though the same potential difference enter a region of uniform magnetic field and describe circular path of radius R₁ and R₂, respectively. the ratio of mass of X to that of Y is

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${(\frac{R_{1}}{R_{2}})}^{2}$

$\frac{R_{2}}{R_{1}}$

${(\frac{R_{1}}{R_{2}})}^{1 / 2}$

$\frac{R_{1}}{R_{2}}$

answer is C.

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Detailed Solution

$\begin{matrix} r = \frac{\sqrt{2 m k}}{q B} \\ ∴ r \propto \sqrt{m} \\ \frac{m_{1}}{m_{2}} = {(\frac{R_{1}}{R_{2}})}^{2} \end{matrix}$

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