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Thermal Properties of Matter

  1. Two rods A and B of different materials are welded together as shown in figure. Their thermal conductivities are K1 and K2. The thermal conductivity of the composite rod will be

    1. 3(K1 + K2)
      2
    2. K1 + K2
    3. 2 (K1 + K2)
    4. K1 + K2
      2
Correct Option: D

Heat current  H = H1 + H2

=
K1A(T1 - T2)
+
K2A(T1 - T2)
dd

=
KEQ2A(T1 - T2)
=
A(T1 - T2)
[k1 + k2]
dd

Hence equivalent thermal conductivities for two rods of equal area is given by
KEQ =
k1 + k2
2



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