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Question

Show on a graph, the variation of resistivity with temperature for a typical semiconductor.

Solution
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The resistivity is given by:
ρ=mne2τ
where n = number density of electrons
ρ = relaxation time
With the rise in temperature, number density of electrons and holes (in case of semiconductors) increases, where τremains constant. So, ρ (resistivity) decreases.

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