An Electron Inside a Hydrogen Atom Is Confined to Within $0.12 \mathrm {~nm}$

An electron inside a hydrogen atom is confined to within a space of about $0.12 \mathrm {~nm}$ . What is the uncertainty in this electron's speed? (melectron $= 9.11 \times 10 ^ { - 31 } \mathrm {~kg} , h = 6.626 \times 10 ^ { - 34 } \mathrm {~J} \cdot \mathrm { s }$ )

A) $4.8 \times 106 \mathrm {~m} / \mathrm { s }$
B) $3.1 \times 10 ^ { 5 } \mathrm {~m} / \mathrm { s }$
C) $3.1 \mathrm {~km} / \mathrm { s }$
D) $9.6 \times 10 ^ { 5 } \mathrm {~m} / \mathrm { s }$
E) $4.8 \mathrm {~m} / \mathrm { s }$

Correct Answer:

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