An electron traveling at 2.4×105 m/s has an uncertainty in its velocity of 1.01×105 m/s .

You may want to reference (Page) Section 7.4 while completing this problem.

Part A
What is the uncertainty in its position?

Approximately at least .

Explanation:

Look up the following values:

The uncertainty in the electron's velocity is . Momentum is equal to mass times velocity. Hence, the uncertainty in the electron's momentum would be

.

By Heisenberg's Uncertainty Principle, the product of uncertainty in an object's momentum and uncertainty in its position is at least .

That is:

.

Rearrange to obtain:

.

In other words, the uncertainty in this electron's position is at least .

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