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Three rods of same dimensions have therm...

Three rods of same dimensions have thermal condutivity `3K,2K` and `K` They are arranged as shown in Then the temperature of the junction in steady state is
.

A

`200/3""^(@)C`

B

`100/(3)""^(@)C`

C

`75^(@)C`

D

`8/1""^(@)C`

Text Solution

Verified by Experts

The correct Answer is:
A


Rate of flow of heat,
`H=H+H_(2)`
Using `H=(KA(T_(1)-T_(2)))/(L)`
`(3K(T-100)A)/(L)=(2K(50-T)A)/(L)+(K(0-T)A)/(L)`
`3(T-100)=2(50-Y)+(0-T)`
`6T=400`
`T=400/(6)=200/(3)""^(@)C`
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