A Molecule of Roughly Spherical Shape Has a Mass Of 1.80

Multiple Choice

A molecule of roughly spherical shape has a mass of $1.80 \times 10 ^ { - 25 } \mathrm {~kg}$ and a diameter of $0.6 \mathrm {~nm}$ . If the uncertainty in the measured position of the molecule is equal to the molecular diameter, what is the minimum uncertainty in the speed of the molecule? ( $h = 6.626 \times 10 ^ { - 34 } \mathrm {~J} \cdot \mathrm { s }$ )

A) $1 \mathrm {~m} / \mathrm { s }$
B) $0.01 \mathrm {~m} / \mathrm { s }$
C) $100 \mathrm {~m} / \mathrm { s }$
D) $10 \mathrm {~m} / \mathrm { s }$
E) $0.1 \mathrm {~m} / \mathrm { s }$