The temperature (T) dependence of resistivity | vedclass

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(C) In semiconductors,the number of charge carriers (electrons and holes) increases exponentially with an increase in temperature $(T)$ due to the the

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(C) In semiconductors,the number of charge carriers (electrons and holes) increases exponentially with an increase in temperature $(T)$ due to the thermal excitation of electrons from the valence band to the conduction band.Since resistivity $(ho)$ is inversely proportional to the number density of charge carriers $(n)$,i.e.,$ho = \frac{m}{ne^2	au}$,the resistivity decreases as the temperature increases.This relationship is given by the expression $ho(T) = ho_0 e^{E_g / 2k_BT}$,which represents an exponential decay.Therefore,the correct graphical representation of the temperature dependence of resistivity for a semiconductor is shown in Graph $C$.

The temperature $(T)$ dependence of resistivity $(\rho)$ of a semiconductor is represented by

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