A proton and an alpha particle move in circular orbits in a uniform magnetic field. Their speeds are in the ratio of 9 : 4. The ratio of radii of their circular orbits \((\frac{r_p}{r_{alpha}})\) is :

(a) \(\frac{3}{4}\)

(b) \(\frac{4}{3}\) 

(c) \(\frac{8}{9}\) 

(d) \(\frac{9}{8}\) 

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Option : (d) \(\frac{9}{8}\)

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