What Is the Approximate Total Uncertainty in the Velocity of an Electron

question 150

Multiple Choice

What is the approximate total uncertainty in the velocity of an electron (9.11 $\times$ 10^-31 kg) confined within a gold atom whose diameter is about 270 pm? The uncertainty in the position of the electron is ±5.0% of the atom's diameter.

• A)±1.4 \(\times\) 10³ m/s
• B)±2.1 \(\times\) 10⁵ m/s
• C)±3.7 \(\times\) 10⁵ m/s
• D)±2.1 \(\times\) 10⁶ m/s
• E)±4.3 \(\times\) 10⁶ m/s

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