2. A beam consisting of five types of ions labeled A, B, C, D, and E enters a re

Question

2. A beam consisting of five types of ions labeled A, B, C, D, and E enters a region that contains a uniform magnetic field as shown in the figure below. The magnetic field is perpendicularly into to the paper. All ions in the beam travel with the same speed. The table below gives the masses and charges of the ions. Note: 1 mass unit 1.67 x 10-27 kg and e-l.?? 10-19 C Mass 6 units 4 units 6 units 3 units 2 units Charge +2e +2e on Region containing magnetic field -e 4 -e Ion beam Which order of ions correspond to the tracks 1, 2, 3, 4, and 5 in that order? (a) A, B, C, D, E (b) C, A, B, E, D (c) C, B, D, E, A (d) E, D, B, A, C

Explanation / Answer

In this case, the magnetic force will be just balanced by the centripetal force,

qvB=mv2/R

R = mv/qB

hence R is proportional to m/q

FOR A: m/q = 3

FOR B: m/q = 2

FOR C: m/q = 6

hence at the left C has the largest radius then A, and then B

FOR D: m/q = 3

FOR E: m/q = 2

hence at the right, D will have the larger radius followed by E

hence option B is correct

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