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Consider a blackbody that radiates with an intensity i1 at a room temperature of 300k. At what intensity i2 will this blackbody radiate when it is at a temperature of 400k?

1 Answer

4 votes

Answer:

3.16 i1

Step-by-step explanation:

T1 = 300 k

I1 = i1

T2 = 400 k

i2 = ?

The intensity is directly proportional to the four powers of the absolute temperature.

I ∝ T^4

So,
(i_(2))/(i_(1))=(T_(2)^(4))/(T_(1)^(4))


(i_(2))/(i_(1))=(400^(4))/(300^(4))

i2 = 3.16 i1

Thus, the intensity becomes 3.16 i1.

User Daniel Castro
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