A hollow cylinder has length L, inner radius r 1 , outer radius r 2 , and thermal conductivity k. The thermal resistance of the cylinder for radius conduction is

Correct Answer is : ln(r2∕r1)2πkL

{\ln \: (r_{2}\/ r_{1}) }/{2\pi kL}

{\ln \: (r_{1}\/ r_{2}) }/{2\pi kL}

{2\pi kL}/{\ln \: (r_{2}\/ r_{1}) }

{2\pi kL}/{\ln \: (r_{1}\/ r_{2}) }

GATE Mechanical Engineering (ME) 2016 Shift 2 Solved Paper

Question : 25 of 65

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A hollow cylinder has length L, inner radius r₁, outer radius r₂, and thermal conductivity k. The thermal resistance of the cylinder for radius conduction is

$\;{\ln\;\:\;(r_{2}\/\;r_{1})\;}/{2π\;kL}$
$\;{\ln\;\:\;(r_{1}\/\;r_{2})\;}/{2π\;kL}$
$\;{2π\;kL}/{\ln\;\:\;(r_{2}\/ r_{1}) }$
$\;{2π\;kL}/{\ln\;\:\;(r_{1}\/ r_{2}) }$

Validate

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