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Question

(C) According to the Richardson-Dushman equation,the thermionic emission current density $J$ is given by:$J = AT^2 e^{-W_0/kT}$where $A$ is the Richar

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$T^2$

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(C) According to the Richardson-Dushman equation,the thermionic emission current density $J$ is given by:$J = AT^2 e^{-W_0/kT}$where $A$ is the Richardson constant,$T$ is the absolute temperature,$W_0$ is the work function of the metal,and $k$ is the Boltzmann constant.From this equation,it is evident that the emission current density $J$ is proportional to the square of the absolute temperature,i.e.,$J \propto T^2$.Therefore,the correct option is $C$.

Thermionic emission from a heated filament varies with its temperature $T$ as

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