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12 April, 12:25

Three particles are moving perpendicular to a uniform magnetic field and travel on circular paths (see the drawing). They have the same mass and speed. List the particles in order of their charge magnitude, largest to smallest.

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  1. 12 April, 12:42
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    Radius of a charged particle is given by

    r=mv / Bq

    = k / q

    where k = m v / B is a constant.

    i. e. more is the magnitude of charge, less is the radius. (inversely proportional)

    From the diagram r_3 > r_2 > r_1 (more the curvature, less is the radius)

    (although drawing is not given i am assuming the above order, however, one can change the order as per the diagram. The concept used remains the same)

    therefore, q_1 > q_2 > q_3.
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