Concept explainers
The sketch of the graph for the given function and to explain the trends in the graph.
Answer to Problem 4.1P
The graph for the function
Explanation of Solution
Given:
The Planck distribution function for blackbody
Calculation:
Consider the term,
The value of the term is calculated as,
Consider the term,
The value of the term is calculated as,
Thus, the Planck's distribution function of a blackbody radiation for a fixed temperature
The following table shows the Planck's intensity distribution for different wavelengths at a fixed temperature.
Wavelength | |
The following figure shows the Planck's intensity distribution for different wavelengths at a fixed temperature.
Figure (1)
From the graph, it can be concluded that the intensity of blackbody radiation for a fixed temperature, is maximum at a particular wavelength and it becomes zero with the increase in wavelength. With the increase in temperature, the maximum intensity of a radiation shift towards the shorter wavelengths.
Conclusion:
Therefore, the graph for the function
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Chapter 4 Solutions
Modern Physics For Scientists And Engineers
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