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Two metal plates of same area and thickness l₁ and l₂ are arranged in series. If the thermal conductivities of the materials of the two plates are K₁ and K₂ . The thermal conductivity of the combination is

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$\frac{2 K_{1} K_{2}}{K_{1} + K_{2}}$

$\frac{K_{1} + K_{2}}{2}$

$\frac{K_{1} K_{2} (ℓ_{1} + ℓ_{2})}{K_{1} ℓ_{2} + K_{2} ℓ_{1}}$

K₁ + K₂

answer is C.

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Detailed Solution

$R_{eff} = R_{1} + R_{2} (R = \frac{ℓ}{KA}); \frac{ℓ_{1} + ℓ_{2}}{K_{eff}} = \frac{ℓ_{1}}{k_{1}} + \frac{ℓ_{2}}{k_{2}}$

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