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A cylindrical steel rod of length 0.10 m...

A cylindrical steel rod of length 0.10 m and thermal conductivity `50 W.m^(-1) K^(-1)` is welded end to end to copper rod of thermal conductivity `400 W.m^(-1). K^(-1)` and of the same area of cross section but 0.20 m long. The free end of the steel rod is maintained at `100^(@)C` and that of the copper and at `0^(@)C`. Assuming that the rods are perfectly insulated from the surrounding, the temperature at the junction of the two rods–

A

`20^(@)C`

B

`30^(@)C`

C

`40^(@)C`

D

`50^(@)C`

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The correct Answer is:
A
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