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One end of thermally insulated rod is ke...

One end of thermally insulated rod is kept at a temperature `T_(1)` and the other at `T_(2)`. The rod is composed of two section of length `l_(1)` and `l_(2)` thermal conductivities `k_(1)` and `k_(2)` respectively. The temerature at the interface of two section is

A

`((k_(1)l_(1)T_(1)+K_(2)l_(2)T_(2)))/((K_(1)l_(1)+K_(2)l_(2)))`

B

`((K_(2)l_(2)T_(1)+K_(1)l_(1)T_(2)))/((K_(1)l_(1)+K_(2)l_(2)))`

C

`((K_(2)l_(1)T_(1)+K_(1)l_(2)T_(2)))/((K_(2)l_(2)+K_(1)l_(2)))`

D

`((K_(1)l_(2)T_(1)+K_(2)l_(2)T_(2)))/((K_(1)l_(2)+K_(2)l_(1)))`

Text Solution

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The correct Answer is:
D
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