You Measure the Velocity of an Electron to an Accuracy $\pm 22.6 \mathrm {~m} / \mathrm { s }$

question 64

Multiple Choice

You measure the velocity of an electron to an accuracy of $\pm 22.6 \mathrm {~m} / \mathrm { s }$ . What is the minimum uncertainty in its position? $\left( h = 6.626 \times 10 ^ { - 34 } \mathrm {~J} \cdot \mathrm { s } , m _ { \text {electron } } = 9.11 \times 10 ^ { - 31 } \mathrm {~kg} \right)$

• A) \(32.2 \mu \mathrm { m }\)
• B) \(8.05 \mu \mathrm { m }\)
• C) \(5.12 \mu \mathrm { m }\)
• D) \(16.1 \mu \mathrm { m }\)
• E) \(4.03 \mu \mathrm { m }\)

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Definitions:

Median

The middle value in a set of data when it is ordered from least to greatest, or the point at which half the data values are above and half are below.

Median

The middle value in a set of ordered data, or the average of the two middle values when the set has an even number of observations.

Absolute Frequency

The count of occurrences or instances of a particular event or property in a dataset.

Ratio

A quantitative relationship between two numbers showing how many times the first number contains the second.