Question

If the temperature of a black body increased rom $27{}^{\circ }C$ to $327{}^{\circ }C$ , the radiation emitted increases by a fraction of:

• A. 16
• B. 8
• C. 4
• D. 2

Answer 1

Answer: (A)

Radiation emitted $T_1=27+273=300$ $T_2=327+273=600$ $E\propto T^4$ $\frac{E_1}{E_2}=\frac{T_1^4}{T_2^4}={\left(\frac{300}{600}\right)}^4$ $\frac{E_1}{E_2}=\frac{1}{16}$ Hence, $E_2=16E_1$