(a)
Interpretation:
The minimum uncertainty in the speed of an electron confined in a nanoparticle with a diameter of
Concept Introduction:
Uncertainty principle:
Uncertainty principle states that if the location of a particle is known to within an uncertainty
Mathematically,
Where,
(a)
Answer to Problem 1B.28E
The minimum uncertainty in the speed of an electron confined within a lead atom of diameter
Explanation of Solution
Given that, the uncertainty in position of an electron is
The uncertainty principle says that,
By plugging all data in the above equation, the value of uncertainty in the speed of electron can be calculated.
Therefore, the minimum uncertainty in the speed of an electron confined within a nanoparticle of diameter
(b)
Interpretation:
The minimum uncertainty in the speed of a
Concept Introduction:
Refer to part (a).
(b)
Answer to Problem 1B.28E
The minimum uncertainty in the speed of a confined within a
Explanation of Solution
Given that, the uncertainty in position of a
The uncertainty principle says that,
By plugging all data in the above equation, the value of uncertainty in the speed of a
Therefore, the minimum uncertainty in the speed of a confined within a
(c)
Interpretation:
The one which could be specified more accurately in a nanoparticle: the speed of an electron or the speed of a
Concept Introduction:
Refer to part (a).
(c)
Explanation of Solution
The uncertainty in speed of an electron and a
The uncertainty in speed of a
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Chapter 1 Solutions
Chemical Principles: The Quest for Insight
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