A) \[208\text{ }\alpha \]
B) \[20\text{ }\alpha \]
C) \[80\text{ }\alpha \]
D) \[\text{8 }\alpha \]
Correct Answer: C
Solution :
Since, \[dQ=mc\,dT\] \[\Rightarrow \] \[Q\int{dQ}=m\alpha \int_{1}^{3}{{{T}^{3}}dT}\] \[\Rightarrow \] \[Q=4\alpha \left[ \frac{{{T}^{4}}}{4} \right]_{1}^{3}\] \[\Rightarrow \] \[Q=\alpha [{{(3)}^{4}}-{{(1)}^{4}}]=\alpha (81-1)\] \[\Rightarrow \] \[Q=80\,\alpha \]
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