The two rods shown in figure have identical geometrical dimension. They are in contact with two heat baths at temperature `100^(@)C` and `0^(@)C` . The temperature of the junction is `70^(@)C` . Find the temperature of the junction if the rods are interchanged.

Explanation

`i= (100 - 70)/(R_(1)) = (70 - 0)/(R_(2))`
`(R_(2))/(R_(1)) = (7)/(3)`
`i= (100 - theta)/(R_(2)) = (theta - 0)/(R_(1))`
`(100 - theta)/(theta) = (R_(2))/(R_(1)) = (7)/(3)`
`300 - 30 = 7 theta`
`theta = 30^(@)C`