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Question

The wavelength of maximum intensity of radiation emitted by a star is 289.8 nm. The radiation intensity for the star is : (Stefan’s constant 5.67×108Wm2K4, constant b=2898μmK)

A
5.67×108W/m2

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B
5.67×1012W/m2

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C
10.67×107W/m2

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D
10.67×1014W/m2
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Solution

The correct option is A 5.67×108W/m2


We know λmaxT=b
T=bλmax=2898×106289.8×109=104K
According to Stefan's Law
E=σT4=(5.67×108)(104)4=5.67×108W/m2

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