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

question 108

Multiple Choice

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

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

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