The resistivity $(\rho)$ of semiconductor varies with temperature. Which of the following curve represents the correct behaviour
A
B
C
D
JEE MAIN 2023, Medium
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B
b $\rho=\frac{ m }{ ne ^2 \tau}$
With rise in temperature, number density $(n)$ of electrons and holes increases for semiconductors.
As $m, e, \tau$ are constant
$\rho \propto \frac{1}{ n } \Rightarrow \rho \propto \frac{1}{ T }$ [Rectangular hyperbola]
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