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Four cylindrical rods of different radii and lengths are used to connect two heat reservoirs at fixed temperatures t1 and t2 respectively. From the following pick out the rod which will conduct the maximum quantity of heat:
  • a)
    Radius 1 cm, length 2 m
  • b)
    Radius 1 cm, length 1 m
  • c)
    Radius 2 cm, length 4 m
  • d)
    Radius 3 cm, length 8 m
Correct answer is option 'D'. Can you explain this answer?
Most Upvoted Answer
Four cylindrical rods of different radii and lengths are used to conne...
The rate of heat transfer is directly proportional to the bisectional surface area of the solid and inversely proportional to its parallel length. 
That is heat conduction rate say H ∝ r2
∝ 1/L
I.e ∝ r2/L
Hence the conduction would be
maximum in case in which  r2/L ratio is largest.
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Four cylindrical rods of different radii and lengths are used to connect two heat reservoirs at fixed temperatures t1and t2respectively. From the following pick out the rod which will conduct the maximum quantity of heat:a)Radius 1 cm, length 2 mb)Radius 1 cm, length 1 mc)Radius 2 cm, length 4 md)Radius 3 cm, length 8 mCorrect answer is option 'D'. Can you explain this answer?
Question Description
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