A metal rod at a temperature of 145^ C , radiates energy at a rate of 17 W . If its temperature is increased to 273^ C , then it will radiate at the rate of

Step-by-step solution

Given, initial temperature of metal rod (T₁ )=145^ C =418 ~K Rate of radiated energy (E₁ )=17 ~W Final temperature (T₂ )=273^ C =273+273=546 ~K We know, from the Stefan's law, E T^4 aligned & or E₁ E₂ = ( T₁ T₂ )^4= ( 418 546 )^4 & E₁ E₂ =0.343 & aligned Therefore, final radiated energy, E₂= E₁ 0.343 = 17 0.343 =49.6 ~W