a deuteron, with the same charge but twice the mass of aproton, moves with a spe

Question

a deuteron, with the same charge but twice the mass of aproton, moves with a speed of 3.0e5 m/s perpendicular to a uniformmagnetic field of 0.20 T. which of the paths described below wouldit follow? (qp = 1.6e-19C and md =3.34e-27kg)Please show all work to recieve any credit a. a straight line path b. a circular path of 1.6 cm radius c. a circular path of 3.1 cm radius d. a circular path of 0.78 cm radius a deuteron, with the same charge but twice the mass of aproton, moves with a speed of 3.0e5 m/s perpendicular to a uniformmagnetic field of 0.20 T. which of the paths described below wouldit follow? (qp = 1.6e-19C and md =3.34e-27kg)Please show all work to recieve any credit a. a straight line path b. a circular path of 1.6 cm radius c. a circular path of 3.1 cm radius d. a circular path of 0.78 cm radius

Explanation / Answer

   Radius of charged particle in a magneticfield            r   =   m* v / B * q    given   mass ofdeuteron   m   =   3.34* 10-27   kg    velocity   v   =   3.0*105   m/s    magentic fieldstrength   B   =   0.20   T    charge   q   =   1.6* 10-19   C       r   =   3.34* 10-27 * 3.0 * 105 / 0.20 * 1.6 *10-19          =   3.13* 10-2   m          ˜   3.1   cm           c. a circular path of 3.1 cmradius       c. a circular path of 3.1 cmradius

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