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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Answer & Solution

Correct Answer

(B) \(5: 4\)

Step-by-step Solution

Detailed explanation

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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