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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

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

Text Solution

Verified by Experts

The correct Answer is:
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 .
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