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Three rods of the same dimension have th...

Three rods of the same dimension have thermal conductivity 3K, 2K and K as shown in the figure. 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
According to the figure
`H+H_1+H_2`
`(3KA(100-T))/l=(2KA(T-20))/1+(KA(T-0))/l`
`300-3T=2T-100+T`
`6T=400`
`Or T=200/3^@c`
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