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Olympiad workbookNSEPThermal Properties of Matter

A certain rod of uniform area of cross section A ( A =1.0 ~cm ^2 ) with its length =2 ~m is thermally insulated on its lateral surface. The thermal conductivity (K) of the material of the rod varies with temperature T as K= T where is a constant. The two ends of the rod are maintained at temperature of T₁=90^ . and T₂=10^ The correct option(s) is /are

Options

  1. AThe temperature at 50 cm from the colder end is 17.32^
  2. BThe temperature at 50 cm from the hotter end is 51.96^
  3. CThe rate of heat flow per unit area of cross section of the rod is 1.1 in SI units.
  4. DThe temperature gradient is numerically higher near the hot end compare to that near the cold end.

Correct answer

D. The temperature gradient is numerically higher near the hot end compare to that near the cold end.

Step-by-step solution

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