Suppose That the Speed of an Electron Traveling $2.0 \mathrm {~km} / \mathrm { s }$

question 31

Multiple Choice

Suppose that the speed of an electron traveling $2.0 \mathrm {~km} / \mathrm { s }$ is known to an accuracy of 1 part in $10 ^ { 5 }$ (i.e., within $0.0010 \%$ ) . What is the least possible uncertainty within which we can determine the position of this electron? ( $\left. m _ { \text {electron } } = 9.11 \times 10 ^ { - 31 } \mathrm {~kg} , h = 6.626 \times 10 ^ { - 34 } \mathrm {~J} \cdot \mathrm { s } \right)$

• A) \(2.0 \mathrm {~mm}\)
• B) \(14 \mathrm {~cm}\)
• C) \(5.8 \mathrm {~mm}\)
• D) \(14 \mathrm {~mm}\)
• E) \(8.5 \mathrm {~nm}\)

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Definitions:

Line Chart

A graph that displays information as a series of data points called 'markers' connected by straight line segments, often used to visualize trends over time.

Frequencies

The number of times a particular data point appears in a set of data.

Nominal Variable

A variable used in statistics to label or categorize without a natural order or ranking.

Interval

A range of values between two points, often used in mathematics and statistics to denote a specific span of numbers.