Question

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. `(50)/(3).^(@)C`

Answer 1

Correct Answer - A
`((Q)/(t))_(3K)=((Q)/(t))_(2K)+((Q)/(t))_(k)`
`(3KA(100-theta))/(l)=(2KA(theta-50))/(l)+(KA(theta-0))/(l)`
`theta` is temperature of the junction .