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Three rods of material ‘x’ and three rods of material y are connected as shown in figure. All the rods are of identical length and cross-section. If the end A is maintained at 60°C and the junction E at 10°C, find effective Thermal Resistance. Given length of each rod=l, area of cross-section=A, conductivity of x=K and conductivity of y=2K.

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a

4l3KA

b

7l6KA

c

4KA3l

d

7KA3l

answer is B.

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Detailed Solution

No heat is flowing through the road CDReq=RAB+RBERBE=2R×R2R+R=2R3 Req=R2+2R3=7R6=7l6KA

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Three rods of material ‘x’ and three rods of material y are connected as shown in figure. All the rods are of identical length and cross-section. If the end A is maintained at 60°C and the junction E at 10°C, find effective Thermal Resistance. Given length of each rod=l, area of cross-section=A, conductivity of x=K and conductivity of y=2K.