The coefficients of thermal conductivity of copper, mercury and glass are respectively K c , K m and K g such that K c > K m > K g . If the same quantity of heat is to flow per second per unit area of each and corresponding temperature gradients are X c , X m and X g , then
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$\frac{Q}{At} = K \frac{\Delta \theta}{l} \Rightarrow K \frac{\Delta \theta}{l} = \text{constant} \Rightarrow \frac{\Delta \theta}{l} \propto \frac{1}{K}$
Hence If $K_{c} > K_{m} > K_{g}$ , then
$\left(\frac{\Delta \theta}{l}\right)_{c} < \left(\frac{\Delta \theta}{l}\right)_{m} < \left(\frac{\Delta \theta}{l}\right)_{g} \Rightarrow X_{c} < X_{m} < X_{g}$
because higher K implies lower value of the temperature gradient.
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