Heat and Thermodynamics 3 Question 6
6. Three rods of copper, brass and steel are welded together to form a Y-shaped structure. Area of cross-section of each rod is . End of copper rod is maintained at whereas ends of brass and steel are kept at . Lengths of the copper, brass and steel rods are 46, 13 and respectively.
The rods are thermally insulated from surroundings except at ends. Thermal conductivities of copper, brass and steel are
(a)
(b)
(c)
(d)
(2014 Main)
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Solution:
- In thermal conduction, it is found that in steady state the heat current is directly proportional to the area of cross-section
which is proportional to the change in temperature .
Then,
According to thermal conductivity, we get