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Two rods of same length and cross sectio...

Two rods of same length and cross section are joined along the length. Thermal conductivities of first and second rod are `K_1` and `K_2`. The temperature of the free ends of the first and second rods are maintained at `θ_1` and `θ_2` respectively. The temperature of the common junction is

A

`\frac { \theta_{ 1 } + \theta_{ 2 } } { 2 }`

B

`\frac { K _ { 1 } K _ { 2 } } { K _ { 1 } + K _ { 2 } } ( \theta _ { 1 } + \theta _ { 2 } )`

C

`\frac { K _ { 1 } \theta _ { 1 } + K _ { 2 } \theta _ { 2 } } { K _ { 1 } + K _ { 2 } }`

D

`\frac { K _ { 2 } \theta _ { 1 } + K _ { 1 } \theta _ { 2 } } { K _ { 1 } + K _ { 2 } }`

Text Solution

Verified by Experts

The correct Answer is:
C
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