Which graph shows correctly the temperature ( | vedclass

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(C) In a semiconductor,as the temperature $(T)$ increases,the number of charge carriers (electrons and holes) increases exponentially due to the break

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$C$

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(C) In a semiconductor,as the temperature $(T)$ increases,the number of charge carriers (electrons and holes) increases exponentially due to the breaking of covalent bonds.This increase in the number of charge carriers dominates over the effect of increased lattice vibrations (which would otherwise increase resistivity).Consequently,the resistivity $(\varrho)$ of a semiconductor decreases rapidly with an increase in temperature.The relationship is given by $\varrho = \varrho_0 e^{E_g / 2k_BT}$,where $E_g$ is the band gap energy and $k_B$ is the Boltzmann constant.Graph $(C)$ correctly represents this exponential decrease of resistivity with temperature.

Which graph shows correctly the temperature $(T)$ dependence of resistivity $(\varrho)$ of a semiconductor?

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