Which of these is a true graph showing a relation between resistivity ρ and temperature for semiconductor?

Question

Which of these is a true graph showing a relation between resistivity ρ and temperature for semiconductor? (A)  (B)  (C)  (D)

Tardigrade Admin · Accepted Answer

For a semiconductor, conductivity increases with temperature or more electron-hole pairs are created due to thermal agitation. So, ρ propto (1/T) ⇒ σ propto T ⇒ (1/ρ) propto T

Q. Which of these is a true graph showing a relation between resistivity $ρ$ and temperature for semiconductor?

For a semiconductor, conductivity increases with temperature or more electron-hole pairs are created due to thermal agitation.
So, $ρ \propto \frac{1}{T}$
$\Rightarrow σ \propto T$
$\Rightarrow \frac{1}{ρ} \propto T$

Q. Which of these is a true graph showing a relation between resistivity ρ and temperature for semiconductor?

For a semiconductor, conductivity increases with temperature or more electron-hole pairs are created due to thermal agitation. So, ρ∝T1​ ⇒σ∝T ⇒ρ1​∝T

Q. Which of these is a true graph showing a relation between resistivity $ρ$ and temperature for semiconductor?

For a semiconductor, conductivity increases with temperature or more electron-hole pairs are created due to thermal agitation.
So, $ρ \propto \frac{1}{T}$
$\Rightarrow σ \propto T$
$\Rightarrow \frac{1}{ρ} \propto T$