A) 10%
B) 40%
C) 46%
D) 1000%
Correct Answer: C
Solution :
Radiated energy is directly proportional to the fourth power of temperature \[E\propto {{T}^{4}}\] \[\begin{align} & \frac{{{E}_{1}}}{{{E}_{2}}}={{\left( \frac{{{T}_{1}}}{{{T}_{2}}} \right)}^{4}} \\ & ={{\left( \frac{T}{T+\frac{T}{10}} \right)}^{4}}={{\left( \frac{10}{11} \right)}^{4}} \\ & \frac{{{E}_{1}}}{{{E}_{2}}}=\frac{10000}{14641} \\ \end{align}\] \[\therefore \]in crease \[\frac{{{E}_{2}}-{{E}_{1}}}{{{E}_{1}}}\times 100=46%\,\text{(app}\text{.)}\]
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