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Q.

A rod CD of thermal resistance 5.0 K/W is joined at the middle of an Identical rod AB as shown in fig. The ends A, B and D are maintained at  100°C,0°C and  25°Crespectively. Find the heat current in CD.
 

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a

8.0 W

b

6.2 W

c

4.0 W

d

2.9 W

answer is C.

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Detailed Solution

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The resistance of the rod α length RAC=RCB=RCD2=52=2.5kw
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H1=TCTDRCD=TC255(1)
H2=TCTBRCB=TC02.5(2)
H=TATCRAC=100TC2.5
H=H1+H2
100TC2.5=TC255+TC02.5 on solving 
TC=45°C
H1=45255=4.0w

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A rod CD of thermal resistance 5.0 K/W is joined at the middle of an Identical rod AB as shown in fig. The ends A, B and D are maintained at  100°C,0°C and  25°Crespectively. Find the heat current in CD.