Fourier's law of heat conduction is (where Q = Amount of heat flow through the body in unit time, A = Surface area of heat flow, taken at right angles to the direction of heat flow, dT = Temperature difference on the two faces of the body, dx = Thickness of the body, through which the heat flows, taken along the direction of heat flow and k = Thermal conductivity of the body)
A. $${\text{kA}}\frac{{{\text{dT}}}}{{{\text{dx}}}}$$
B. $${\text{kA}}\frac{{{\text{dx}}}}{{{\text{dT}}}}$$
C. $${\text{k}}\frac{{{\text{dT}}}}{{{\text{dx}}}}$$
D. $${\text{k}}\frac{{{\text{dx}}}}{{{\text{dT}}}}$$
Answer: Option A
Solution (By Examveda Team)
Fourier's law of heat conduction is $${\text{kA}}\frac{{{\text{dT}}}}{{{\text{dx}}}}$$Where Q = Amount of heat flow through the body in unit time, A = Surface area of heat flow, taken at right angles to the direction of heat flow, dT = Temperature difference on the two faces of the body, dx = Thickness of the body, through which the heat flows, taken along the direction of heat flow and k = Thermal conductivity of the body.
The law of heat conduction, also known as Fourier's law, states that the time rate of heat transfer through a material is proportional to the negative gradient in the temperature and to the area, at right angles to that gradient, through which the heat flows.
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