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A charged particle is moving in a circular orbit of radius 6 \( \mathrm{cm} \) with a uniform speed of \( 3 \times 10^{6} \mathrm{~m} / \mathrm{s} \) under the action of a uniform magnetic field \( 2 \times 10^{-4} \mathrm{wb} / \mathrm{m}^{2} \) at right angles to the plane of the orbit. The charge to mass ratio of the particle is
[Odisha JEE 2010]
(a) \( 5 \times 10^{9} \mathrm{C} / \mathrm{kg} \)
(b) \( 2.5 \times 10^{11} \mathrm{C} / \mathrm{kg} \)
(c) \( 5 \times 10^{11} \mathrm{C} / \mathrm{kg} \)
(d) \( 5 \times 10^{12} \mathrm{C} / \mathrm{kg} \)
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