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JEE PYQ: Thermodynamics Question 39

Question 39 - 2019 (10 Jan Shift 1)

A heat source at $T = 10^3$ K is connected to another heat reservoir at $T = 10^2$ K by a copper slab which is 1 m thick. Given that the thermal conductivity of copper is 0.1 WK$^{-1}$ m$^{-1}$, the energy flux through it in the steady state is:

(1) 90 Wm$^{-2}$

(2) 120 Wm$^{-2}$

(3) 65 Wm$^{-2}$

(4) 200 Wm$^{-2}$

Show Answer

Answer: (1)

Solution

Energy flux, $\frac{1}{A}\left(\frac{dQ}{dt}\right) = \frac{k\Delta T}{\ell}$

$= \frac{(0.1)(900)}{1} = 90$ W/m$^{2}$


Learning Progress: Step 39 of 45 in this series