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Which of the following circular rods (gi...

Which of the following circular rods (given radius `r` and length `l`) each made of the same material and whose ends are maintained at the same temperature will conduct most heat?

A

`r = 2r_(0), l = 2 l_(0)`

B

`r = 2r_(0), l = l_(0)`

C

`r = r_(0), l = l_(0)`

D

`r = r_(0), l = 2 l_(0)`

Text Solution

Verified by Experts

The correct Answer is:
B

(2) `i prop (1)/(R ) implies i prop (1)/(l//KA)`
`i prop (A)/(l) implies i (pi r^(2))/(l)`
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CP SINGH-HEAT TRANSFER-Exercises
  1. In a room containing air, heat can go from one place to another

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  2. The two ends of uniform rod of thermal conductivity K are maintained a...

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  3. Which of the following circular rods (given radius r and length l) eac...

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  4. Two rods A and B are of equal lengths. Their ends of kept between the ...

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  5. The temperature gradient in a rod of 0.5 m length is 80^(@)C//m. It th...

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  6. A cylindrical rod having temperature T(1) and T(2) at its ends. The ra...

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  7. The heat is flowing through two cylinderical rods of same material. Th...

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  8. Two identical vessels are filled with equal amounts of ice. The vessel...

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  9. One end of a themally insulated copper rod of length 1 m long and of 1...

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  10. A glass window conducts out a certain quantity of heat per second when...

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  11. Two walls of thicknes l(1) and l(2) and ther-mal condctivities K(1) an...

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  12. A slab consists of two layers of different materials of the same thick...

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  13. Two rods of the same length and diameter, having thermal conductivitie...

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  14. Consider a compound slab consisting of two different material having e...

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  15. A cylinder of radius R made of a material of thermal conductivity K1 i...

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  16. A long metallic bar is carrying heat from one of its ends to the other...

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  17. A and B are two points on uniform metal ring whose centre is O The ang...

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  18. Two rods (one semi-circular and other straight) of same material and o...

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  19. Three rods A, B and C of the same length and cross- sectional area are...

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  20. Three rods of same dimensions have thermal condutivity 3K,2K and K The...

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