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Grade: 12th pass
        
Question:A bar of copper of length 0.75 m and a bar of a staniless steel of length 1.25 m are joined end to end,each having a cross-sectional area of 10^-4 m^2 .The free ends of the copper and the steel bars are maintained at 100 degree C and 0 degree C respectively.1)Find the temperature of the copper-steel junction   .2)Calculate the rate of heat transmission  across the junction.Thermal conductivities of copper and steel  are400  and 14 joule+sec.m.kelvin respectively .
one year ago

Answers : (1)

Eshan
askIITians Faculty
2095 Points
							Since the rods are connected in series, the rate of heat supplied would be constant. Let the temperature at the junction of the rod beT.

Therefore,\dfrac{dH}{dt}=\dfrac{K_1A(100-T)}{0.75}=\dfrac{K_2AT}{1.25}

Solving the above equation will give the temperature as well as the rate of heat transmission.
one year ago
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