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Six identical conducting rods are joined...

Six identical conducting rods are joined as shown figure. Points A and D are maintained at temperatures `200^(@)C` and `20^(@)C` respectively. The temperature junction B will be

A

`120^@C`

B

`100^@C`

C

`140^@C`

D

`80^@C`

Text Solution

Verified by Experts

The correct Answer is:
C

Let the thermal resistance of each rod be R. The two resistance connected along two paths from B to C are equivalent to 2 R each and their parallel combination is R. Effective thermal resistance between B and `D=2R` temperature of inteface`theta=(R_1theta_2+R_2theta_1)/(R_1+R_2)`
`theta=(Rxx20+2Rxx200)/(R+2R)=(420)/(3)=140^@C`
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