An infinitely long pin fin, attached to an isothermal hot surface, transfers heat at a steady rate of Q̇1 to the ambient air. If the thermal conductivity of the fin material is doubled, while keeping everything else constant, the rate of steady-state heat transfer from the fin becomes Q̇2. The ratio Q̇2/Q̇1 is   

1
\(\dfrac{1}{\sqrt{2}}\)
2
\(\dfrac{1}{2}\)
3
2
4
\(\sqrt{2}\)

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