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Q.

A metal bar of length / is covered with some non-conducting material to prevent heat losses from its surface and the two ends are maintained at steady temperatures θ1 and θ2(<θ1). In the steady state, the temperature θ of the bar above the surrounding at distance x from the hot end varies as shown in the graph:

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a

b

c

d

answer is B.

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Detailed Solution

Heat crossing through any cross-section is same and so the temperature gradient. As the distance is increased from the rod temperature of the region decreases.
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A metal bar of length / is covered with some non-conducting material to prevent heat losses from its surface and the two ends are maintained at steady temperatures θ1 and θ2(<θ1). In the steady state, the temperature θ of the bar above the surrounding at distance x from the hot end varies as shown in the graph: