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Area and Volume Expansion

The two ends ...

Question

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

4.0 J/s

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B

44.0 J/s

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C

16.8 J/s

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D

8.0 J/s

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Solution

The correct option is A
4.0 J/s

Rate of heat flow = $\frac{k . A . Δ T}{x}$

Since $Δ$ T is same i.e. $10^{\circ}$ C, the rate of flow will be same i.e. 4.0 J/s.

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