Concept explainers
(a)
The wavelength of maximum emission of the volcano at a temperature of
(a)
Answer to Problem 25Q
Solution:
Explanation of Solution
Given data:
The temperature of the volcano named Pele on Jupiter’s moon, Io, is
Formula used:
The conversion of the unit of temperature from Celsius to kelvin is done as follows:
Here,
The expression for Wien’s law is:
Here,
Explanation:
The conversion of the unit of temperature from Celsius to kelvin is done as follows:
Substitute
The expression for Wien’s law is:
Substitute
Conclusion:
The wavelength of maximum emission of the volcano is
(b)
The energy emitted by a square meter of the surface of Pele compared to that by a square meter of the surface of the moon, Io, if the temperature of Io’s surface is
(b)
Answer to Problem 25Q
Solution:
A square meter of the surface of Pele emits
Explanation of Solution
Given data:
The average temperature of the surface of Io is
Formula used:
The conversion of the unit of temperature from Celsius to kelvin is done as follows:
Here,
The expression for Stefan Boltzmann law is:
Here,
Explanation:
The conversion of the unit of temperature from Celsius to kelvin is done as follows:
Substitute
The expression for Stefan Boltzmann law is:
Here, the energy per square unit per second will be same as the flux.
Use this relation to find the ratio of energy per square unit per second.
Substitute
Conclusion:
Therefore, Pele has a higher surface temperature, and each square meter of its surface emits
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