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Concept explainers
Interpretation:
The de Broglie wavelength (in nm) for the given conditionsis to be determined.
Concept introduction:
The de Broglie wavelength can be determined as follows:
Here,
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Answer to Problem 104AP
Solution:
(a)
(b)
Explanation of Solution
a)Calculate the wavelength of
The mass of the ball is
The speed of the ball is
One mile is equivalent to 1609 meters.
Calculate the wavelength (in nm) of the baseball, as shown below:
Substitute
Therefore, the wavelength is
b)Calculate the wavelength (in nm) of the hydrogen atom at the same speed
The mass of the hydrogen atom is
The speed of the hydrogen atom is
One mile is equivalent to
The mass of the hydrogen atom
Calculate the wavelength (in nm) of the hydrogen atom, as shown below:
Substitute
Therefore, the wavelength is
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Chapter 6 Solutions
Chemistry
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