Question 17: What happens to the total radiations from the black body if its absolute temperature is doubled?
Let T is the temperature of the blackbody and E is the energy radiated per second per unit area of the blackbody. Apply Stefan-Boltzmann law
Let the temperature of the blackbody is doubled so that the new temperature is T’ = 2T and the energy radiated is E’.
Substitute the value of T’.
(By putting the value of E from equation 1)
Thus when we double the temperature of the blackbody, its radiated energy becomes 16 times greater.