Example :Calculate the value of λmax for solar radiation assuming that surface temperature of Sun is 5800 K (b=2.897×10^-3 mK). In which part of the EM spectrum, does the value lie?
Answers
Answer:
Wien's law states that
λ
m
T=constant b=2.892×10
−3
mK
where T (in Kelvin) is the temperature of the radiating body.
λ
m
=4753
A
∘
=4753×10
−10
m
Hence, T=
λ
m
b
=
4753×10
−10
m
2.892×10
−3
mK
=6060 K
(This is only a rough estimate of the temperature of the surface of the sun as the sun does not actually radiate like a block body.)
Explanation:
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Given: The surface temperature of the sun is 5800 K. Value of b= 2.897* 10^-3 mK
To find: Value of λmax and the part of EM spectrum it lies
Explanation: Temperature of the body that emits radiation (T) = 5800 K
The value of b that is given is called Wien's constant. Its value is 2.897* 10^-3 mK.
Wavelength of the radiation is inversely proportional to the temperature of the surface.
Formula used is:
λmax= b/T
= 2.897* 10^-3 mK/ 5800 K
= 5 * 10^-7 m
The wavelength 5* 10^-7 m belongs to the range of visible rays in the electromagnetic (EM) spectrum.
Therefore, the value of λ is 5* 10^-7 m and it lies in the visible spectrum of the EM waves.