A) \[{{0.055}^{o}}C/s\]
B) \[{{0.066}^{o}}C/s\]
C) \[{{0.044}^{o}}C/s\]
D) \[{{0.033}^{o}}C/s\]
Correct Answer: B
Solution :
[b] Rate of heat loss \[=\sigma eA({{T}^{4}}-T_{s}^{4})\]\[-ms\frac{dT}{dt}=\sigma eA({{T}^{4}}-T_{s}^{4})\]\[-\frac{dT}{dt}=\frac{5.8\times {{10}^{-4}}\times \pi {{(0.08)}^{2}}[{{(500)}^{4}}-{{(300)}^{4}}]}{10\times 4.2\times 90}\] \[\Rightarrow \] \[\frac{-dT}{dt}={{0.066}^{o}}C/s\]
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