Question 17: What happens to the total radiations from the black body if its absolute temperature is doubled?

ANSWER

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.