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Q.

Two rods of length l and 2l thermal conductivities 2K and K are connected end to end. If cross sectional areas of two rods are equal, then equivalent thermal conductivity of the system is

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a

$(5 / 6) K$

b

$(8 / 9) K$

c

1.5K

d

1.2 K

answer is C.

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Detailed Solution

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

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