A) 4
B) 2
C) 16
D) 8
Correct Answer: C
Solution :
From Stefan?s law the total radiant energy emitted per second per unit surface area of a black body is proportional to the fourth power of the absolute temperature \[\left( T \right)\] of the body, that is \[E=\sigma {{T}^{4}}\] Where \[\sigma \] is Stefan?s constant. Given, \[{{T}_{1}}=T,\,\,{{T}_{2}}=2T\] \[\therefore \] \[\frac{{{E}_{1}}}{{{E}_{2}}}=\frac{T_{1}^{4}}{T_{2}^{4}}={{\left( \frac{T}{2T} \right)}^{4}}=\frac{1}{16}\] \[\Rightarrow \] \[{{E}_{2}}=16E\] Note: As the temperature of surface rises more and more radiant energy is emitted by it.
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