Two identical rods made of two different metals A and B with thermal conductivities K_ A and K_ B respectively are joined end to end. The free end of A is kept at a temperature T_1 while the free end of B is kept at a

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Olympiad workbook · NSEP · Thermal Properties of Matter

Two identical rods made of two different metals A and B with...

Two identical rods made of two different metals A and B with thermal conductivities

K_{\mathrm{A}}

and

K_{\mathrm{B}}

respectively are joined end to end. The free end of A is kept at a temperature

T_1

while the free end of B is kept at a temperature

T_2 \left(

< \mathrm{T}}_{1}\right). Therefore, in the steady state

Athe temperature of the junction will be determined only by $K_{\mathrm{A}}$ and $K_{\mathrm{B}}$ .
Bif the lengths of the rods are doubled the rate of heat flow will be halved.
Cif the temperatures at the two free ends are interchanged the junction temperature will change.
Dthe composite rod has an equivalent thermal conductivity of $\frac{2 K_A K_B}{K_A+K_B}$ .

D. the composite rod has an equivalent thermal conductivity of $\frac{2 K_A K_B}{K_A+K_B}$ .

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