A composite slab consists of two materials having coefficient of… | MHT CET 2023 (12 May, Shift 1)

Q25MHT CET 2023 · 12 MAY · SHIFT 1Medium

Heat Conduction

A composite slab consists of two materials having coefficient of thermal conductivity $K$ and $2K$ , thickness $x$ and $4x$ respectively. The temperature of the two outer surfaces of a composite slab are $T_2$ and $T_1\ (T_2 > T_1)$ . The rate of heat transfer through the slab in a steady state is $\left[\frac{A(T_2-T_1)K}{x}\right] \cdot f$ where ' $f$ ' is equal to

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Answer: (d)

Series resistances: $R = \frac{x}{KA} + \frac{4x}{2KA} = \frac{3x}{KA}$
$H = \frac{T_2-T_1}{R} = \frac{A(T_2-T_1)K}{x}\cdot\frac{1}{3}$
So $f = \frac{1}{3}$ , answer (d).

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Heat Conduction question from MHT CET 2023 (12 May, Shift 1)

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