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Q.

Two rods 1 and 2 have cross sectional areas A and 2A. Ratio of their length is 1 : 2, ratio of their coefficient of thermal conductivities is 4 : x. When the ends of the rods are maintained at temperatures θ1oC and θ2oC (θ1>θ2), they conduct heat at the same rate. Then the value of x is

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a

8

b

4

c

2

d

1

answer is B.

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Detailed Solution

In steady state K1A(θ1−θ2)l1=K22A(θ1−θ2)l2⇒K1K2=l1l2.2⇒4x=12.2⇒x=4

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