What is the temperature of the steel-cop...

What is the temperature of the steel-copper junction in the steady state of the system shown if Fig? Length of the steel rod `=25cm`, length of the copper rod`=50cm`, temperature of the furnace`=300^@C`, temperature of the other end `=0^@C`. The area of cross section of the steel rod is twice that of the copper rod. (Thermal conductivity of steel `=50J//sm` and of copper `=400Js//mK`).

`150^@C`

`200^@C`

`100^@C`

`250^@C`

Text Solution

Verified by Experts

The correct Answer is:

`(k_1A_1(T_1-T))/(L_1)=(k_2A_2(T-T_2))/(L_2)`
`300-T=((L_1)/(L_2))((k_2)/(k_1))((A_2)/(A_1))(T-0)`
`300-T=2T`
`T=100^@C`

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