JEE MAIN - Physics (2023 - 6th April Morning Shift - No. 16)

The resistivity $$(\rho)$$ of semiconductor varies with temperature. Which of the following curve represents the correct behaviour :
JEE Main 2023 (Online) 6th April Morning Shift Physics - Semiconductor Question 33 English Option 1
JEE Main 2023 (Online) 6th April Morning Shift Physics - Semiconductor Question 33 English Option 2
JEE Main 2023 (Online) 6th April Morning Shift Physics - Semiconductor Question 33 English Option 3
JEE Main 2023 (Online) 6th April Morning Shift Physics - Semiconductor Question 33 English Option 4

Explanation

A semiconductor start conduction more as the temperature increases. It means resistance decreases with increase in temperature. So if temperature increases, its resistivity decreases.

Also, $$ \rho=\frac{m}{n e^2 \tau} $$

as temperature increases, $\tau$ decreases but $n$ increases and $n$ is dominant over $\tau$.

JEE Main 2023 (Online) 6th April Morning Shift Physics - Semiconductor Question 33 English Explanation

$\therefore$ Option (a) is correct.

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