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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 :

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5 : 4

5 : 3

8 : 5

8 : 7

answer is B.

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Detailed Solution

Radius of circular path $R = \frac{\sqrt{2 mk}}{qB}$

$q = \frac{\sqrt{2 mk}}{RB}$

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

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