A Measurement of an Electron's Speed Is $2.0 \times 10 ^ { 6 } \mathrm {~m} / \mathrm { s }$

Multiple Choice

A measurement of an electron's speed is $2.0 \times 10 ^ { 6 } \mathrm {~m} / \mathrm { s }$ and has an uncertainty of $10 \%$ . What is the minimum uncertainty in the position of the electron? $\left( m _ { \text {electron } } = 9.11 \times 10 ^ { - 31 } \mathrm {~kg} , h = 6.626 \times \right.$ $\left. 10 ^ { - 34 } \mathrm {~J} \cdot \mathrm { s } \right)$

A) $4.9 \mathrm {~nm}$
B) $0.58 \mathrm {~nm}$
C) $1.5 \mathrm {~nm}$
D) $0.87 \mathrm {~nm}$
E) $0.29 \mathrm {~nm}$