A Doubly Charged Ion with Speed $6.9 \times 10 ^ { 6 } \mathrm {~m} / \mathrm { s }$

A doubly charged ion with speed $6.9 \times 10 ^ { 6 } \mathrm {~m} / \mathrm { s }$ enters a uniform $0.80 - T$ magnetic field, traveling perpendicular to the field. Once in the field, it moves in a circular arc of radius $30 \mathrm {~cm}$ . What is the mass of this ion? $\left( e = 1.60 \times 10 ^ { - 19 } \mathrm { C } \right)$

A) $11 \times 10 ^ { - 27 } \mathrm {~kg}$
B) $8.2 \times 10 ^ { - 27 } \mathrm {~kg}$
C) $3.3 \times 10 ^ { - 27 } \mathrm {~kg}$
D) $6.7 \times 10 ^ { - 27 } \mathrm {~kg}$

Correct Answer:

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