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Question -

Use the formula λm T= 0.29 cm K to obtain the characteristictemperature ranges for different parts of the electromagnetic spectrum. What dothe numbers that you obtain tell you?



Answer -

A body at a particulartemperature produces a continous spectrum of wavelengths. In case of a blackbody, the wavelength corresponding to maximum intensity of radiation is givenaccording to Planck’s law. It can be given by the relation,

Where,

λm =maximum wavelength

T = temperature

Thus, thetemperature for different wavelengths can be obtained as:

For λm = 10−4 cm; 

For λm = 5 ×10−5 cm;

For λm = 10−6 cm;  and so on.

Thenumbers obtained tell us that temperature ranges are required for obtainingradiations in different parts of an electromagnetic spectrum. As the wavelengthdecreases, the corresponding temperature increases.


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