You Measure the Velocity of an Electron to an Accuracy $\pm 22.6 \mathrm {~m} / \mathrm { s }$

Multiple Choice

You measure the velocity of an electron to an accuracy of $\pm 22.6 \mathrm {~m} / \mathrm { s }$ . What is the minimum uncertainty in its position? $\left( h = 6.626 \times 10 ^ { - 34 } \mathrm {~J} \cdot \mathrm { s } , m _ { \text {electron } } = 9.11 \times 10 ^ { - 31 } \mathrm {~kg} \right)$

A) $32.2 \mu \mathrm { m }$
B) $8.05 \mu \mathrm { m }$
C) $5.12 \mu \mathrm { m }$
D) $16.1 \mu \mathrm { m }$
E) $4.03 \mu \mathrm { m }$