A rod of length i and cross section area A has a variable thermal conductivity given by $$k=\alpha T,$$ where a is a positive constant and T is temperature in kelvin. Two ends of the rod are maintained at temperatures $${{T}_{1}}$$ and $${{T}_{2}}({{T}_{1}}{{T}_{2}})$$. Heat current flowing through the rod will be

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A rod of length i and cross section area A has a variable thermal conductivity given by $$k=\alpha T,$$ where a is a positive constant and T is temperature in kelvin. Two ends of the rod are maintained at temperatures $${{T}_{1}}$$ and $${{T}_{2}}({{T}_{1}}>{{T}_{2}})$$. Heat current flowing through the rod will be

TuteeHUB · Accepted Answer

NA

TuteeHUB · Answer

$$\frac{A\alpha (T_{1}^{2}-T_{2}^{2})}{\ell }$$

TuteeHUB · Answer

$$\frac{A\alpha (T_{1}^{2}+T_{2}^{2})}{\ell }$$

TuteeHUB · Answer

$$\frac{A\alpha (T_{1}^{2}+T_{2}^{2})}{3\ell }$$

TuteeHUB · Answer

$$\frac{A\alpha (T_{1}^{2}-T_{2}^{2})}{2\ell }$$

1.	A rod of length i and cross section area A has a variable thermal conductivity given by \[k=\alpha T,\] where a is a positive constant and T is temperature in kelvin. Two ends of the rod are maintained at temperatures \[{{T}_{1}}\] and \[{{T}_{2}}({{T}_{1}}>{{T}_{2}})\]. Heat current flowing through the rod will be
A.	\[\frac{A\alpha (T_{1}^{2}-T_{2}^{2})}{\ell }\]
B.	\[\frac{A\alpha (T_{1}^{2}+T_{2}^{2})}{\ell }\]
C.	\[\frac{A\alpha (T_{1}^{2}+T_{2}^{2})}{3\ell }\]
D.	\[\frac{A\alpha (T_{1}^{2}-T_{2}^{2})}{2\ell }\]
Answer» E.

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