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One end of a thermally insulated rod is ...

One end of a thermally insulated rod is kept at a temperature `T_1` and the other at `T_2`. The rod is composed of two sections of length `l_1 and l_2` and thermal conductivities `K_1 and K_2` respectively. The temperature at the interface of the two section is

A

`((K_2l_2T_1+K_1l_1T_2))/((K_1l_1+K_2l_2))`

B

`((K_2l_1T_1+K_1l_2T_2))/((K_2l_1+K_1l_2))`

C

`((K_1l_2T_1+K_2l_1T_2))/((K_1l_2+K_2l_1))`

D

`((K_1l_1T_1+K_2l_2T_2))/((K_1l_1+K_2l_2))`

Text Solution

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The correct Answer is:
C
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