Q. 235.0( 1 Vote )

Figure shows a copper rod joined to a steel rod. The rods have equal length and equal cross-sectional area. The free end of the copper rod is kept at 0°C and that of the steel rod is kept at 100°C. Find the temperature at the junction of the rods. Conductivity of copper = 390 W m–1 °C–1 and that of steel = 46 W m–1 °C–1.

Given-

Conductivity of copper, K1 = 390 W m–1 °C–1

Steel, k2 = 46 W m–1 °C–1.

Let

length of rods = l and Area = A

Since rods are connected in series,

so the rate of flow of heat is same ie,

Q1 = Q2

Rate of flow of heat,

Q =

=

Since for series connected rods, Q1 = Q2,

=

A K1 = A k2

T = 10.6°C

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