What is the equivalent thermal conductivity of the rods in figure given below, if the length of each cylinder be $$\ell $$ and area of cylinder having thermal conductivities$${{\operatorname{K}}_{1}}$$and $${{K}_{3}}$$be A while that of the middle cylinder haying thermal conductivity $${{K}_{2}}$$ be 2A?

Question

TuteeHUB · Accepted Answer

$$\frac{1}{\left[ \frac{1}{{{K}_{1}}}+\frac{1}{2{{K}_{2}}}+\frac{1}{{{K}_{3}}} \right]}$$

TuteeHUB · Answer

$$\frac{5}{2\left[ \frac{1}{{{K}_{1}}}+\frac{1}{2{{K}_{2}}}+\frac{1}{{{K}_{3}}} \right]}$$

TuteeHUB · Answer

$$\frac{2}{5\left[ \frac{1}{{{K}_{1}}}+\frac{1}{2{{K}_{2}}}+\frac{1}{{{K}_{3}}} \right]}$$

TuteeHUB · Answer

None of these

1.	What is the equivalent thermal conductivity of the rods in figure given below, if the length of each cylinder be \[\ell \] and area of cylinder having thermal conductivities\[{{\operatorname{K}}_{1}}\]and \[{{K}_{3}}\]be A while that of the middle cylinder haying thermal conductivity \[{{K}_{2}}\] be 2A?
A.	\[\frac{5}{2\left[ \frac{1}{{{K}_{1}}}+\frac{1}{2{{K}_{2}}}+\frac{1}{{{K}_{3}}} \right]}\]
B.	\[\frac{1}{\left[ \frac{1}{{{K}_{1}}}+\frac{1}{2{{K}_{2}}}+\frac{1}{{{K}_{3}}} \right]}\]
C.	\[\frac{2}{5\left[ \frac{1}{{{K}_{1}}}+\frac{1}{2{{K}_{2}}}+\frac{1}{{{K}_{3}}} \right]}\]
D.	None of these
Answer» B. \[\frac{1}{\left[ \frac{1}{{{K}_{1}}}+\frac{1}{2{{K}_{2}}}+\frac{1}{{{K}_{3}}} \right]}\]

Discussion

No Comment Found

Related MCQs

Reply to Comment