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)

16

Answer 2

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, ${{E}_{2}}=16{{E}_{1}}$