The two ends of a metal rod are maintained at temperatures 100°C and 110°C. The rate of heat flow in…

The two ends of a metal rod are maintained at temperatures $100^\circ C$ and $110^\circ C$. The rate of heat flow in the rod is found to be 4.0 J/s. If the ends are maintained at temperatures $200^\circ C$ and $210^\circ C$, the rate of heat flow will be
A 44.0 J/s
B 16.8 J/s
C 8.0 J/s
D 4.0 J/s

Detailed Solution

Rate of heat conduction: $\frac{dQ}{dt} = \frac{KA(T_2 - T_1)}{L} \propto (T_2 - T_1)$
The temperature difference is $10^\circ C$ in both cases.
So the rate of heat flow remains 4.0 J/s.

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Practise Thermal conduction All 3 questions This chapter in 2015 AIPMT-I