A Proton That Is Moving Freely Has a Wavelength Of 0.600

question 92

Short Answer

A proton that is moving freely has a wavelength of $0.600 \mathrm { pm }$ . ( $m _ { \text {proton } } = 1.67 \times 10 ^ { - 27 } \mathrm {~kg}$ ,
$$\left. e = 1.60 \times 10 ^ { - 19 } \mathrm { C } , h = 6.626 \times 10 ^ { - 34 } \mathrm {~J} \cdot \mathrm { s } \right)$$
(a) What is its momentum?
(b) What is its speed?
(c) What potential difference would it have been accelerated through, starting from rest, to reach this speed?

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Definitions:

Third Variable Problem

A challenge in research where an unmeasured, external factor causes the correlation between two variables, complicating causal interpretations.

Directionality Problem

In research, the issue of not knowing whether variable A causes variable B or vice versa.

Correlational Studies

Correlational studies are research methods that examine the relationship between two or more variables to determine if a statistically significant association exists, without inferring cause and effect.

Correlation

A statistical measure that indicates the extent to which two variables fluctuate together, without necessarily implying causation.