Three rods of same dimensions are arranged as shown in figure they have thermal conductivities $${{K}_{1}},{{K}_{2}}$$ and$${{K}_{3}}$$ The points P and Q are maintained at different temperatures for the heat to flow at the same rate along PRQ and PQ then which of the following option is correct [KCET 2001]

Question

Three rods of same dimensions are arranged as shown in figure they have thermal conductivities $${{K}_{1}},{{K}_{2}}$$ and$${{K}_{3}}$$ The points P and Q are maintained at different temperatures for the heat to flow at the same rate along PRQ  and PQ then which of the following option is correct                [KCET 2001]

TuteeHUB · Accepted Answer

$${{K}_{3}}=2({{K}_{1}}+{{K}_{2}})$$

TuteeHUB · Answer

$${{K}_{3}}=\frac{1}{2}({{K}_{1}}+{{K}_{2}})$$

TuteeHUB · Answer

$${{K}_{3}}={{K}_{1}}+{{K}_{2}}$$

TuteeHUB · Answer

$${{K}_{3}}=\frac{{{K}_{1}}{{K}_{2}}}{{{K}_{1}}+{{K}_{2}}}$$

1.	Three rods of same dimensions are arranged as shown in figure they have thermal conductivities \[{{K}_{1}},{{K}_{2}}\] and\[{{K}_{3}}\] The points P and Q are maintained at different temperatures for the heat to flow at the same rate along PRQ and PQ then which of the following option is correct [KCET 2001]
A.	\[{{K}_{3}}=\frac{1}{2}({{K}_{1}}+{{K}_{2}})\]
B.	\[{{K}_{3}}={{K}_{1}}+{{K}_{2}}\]
C.	\[{{K}_{3}}=\frac{{{K}_{1}}{{K}_{2}}}{{{K}_{1}}+{{K}_{2}}}\]
D.	\[{{K}_{3}}=2({{K}_{1}}+{{K}_{2}})\]
Answer» D. \[{{K}_{3}}=2({{K}_{1}}+{{K}_{2}})\]

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