Question

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?

Answer 1

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.