Concept explainers
To find:
a) Whether the momentum of A is less than, equal to, or greater than that of B.
b) Whether the wavelength of A is less than, equal to, or greater than that of B.
Answer to Problem 1Q
Solution:
a) The momentum of A is greater than that of B.
b) The wavelength of A is less than that of B.
Explanation of Solution
1) Concept:
We can write the formula for energy of photon in terms of momentum. From this, we can get the relation between momentum of A and B. From this, we can predict whether the momentum of A is less than, equal to, or greater than that of B. Then we can write the relation between energy and wavelength of photon. From this, we can predict whether the momentum of A is less than, equal to, or greater than that of B.
2) Formulae:
i)
ii)
3) Given:
4) Calculations:
a) The relation between energy and momentum of photon is
From this, we can interpret that
Since
Then,
From this, we can conclude that
b) The relation between energy of photon and its wavelength is
From this, we can interpret that
Since
Then,
From this, we can conclude that
Conclusion:
Energy is directly proportional to momentum and inversely proportional to wavelength.
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Chapter 38 Solutions
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