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Three rods of same dimensions have therm...

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

A

`75^(@)C`

B

`200/3 @C`

C

`40^(@)c`

D

`100/3 @c`

Text Solution

Verified by Experts

The correct Answer is:
B
Suppose T be the temperature of junction. `H_(1)`, `H_(2)` and `H_(3)` are heat currents. Then `H_(1) = H_(2)+H_(3)`

or `(100-T)/(l//3KA) = (T-50)/(l//2KA)+(T-0)/(l//KA)` or `3(100-T)=2(T-50)+T`
Solving we get, `T=200_(@)/3C`
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