STATEMENT-1 : Electrical conductivity of semiconductors increases with increasing temperature.
STATEMENT-2 : With increase in temperature, large number of electrons from the valence band can jump to the conduction band.

Statement-1 is True, statement-2 is True; statement-2 is a correct explanation for statement-1

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statement-1 is True, statement-2 is True; statement-2 is not a correct explanation for statement-1

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Statement-1 is True, statement-2 is False

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Statement-1 is False, statement-2 is True

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Solution

The correct option is C Statement-1 is True, statement-2 is True; statement-2 is a correct explanation for statement-1
The electrical conductivity of a semiconductor increases exponentially with an increase in temperature because as temperature is increased, more electrons get energy and can jump to the conduction band which increases conductivity.
$σ = C e^{- E_{g} / 2 K T}$
We can plot this equation as log $σ$ vs $\frac{1}{T}$ axes to get a linear plot as shown.

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Similar questions

- 1 :

0 < x < y \Rightarrow {log}_{a} x > {log}_{a} y

a > 1

- 2 :

a > 1, {log}_{a} x

\sum_{r = 0}^{n} (r + 1)^{n} C_{r} = (n + 2) 2^{n - 1} .

\sum_{r = 0}^{n} (r + 1)^{n} C_{r} x^{r} = (1 + x)^{n} + n x (1 + x)^{n - 1} .

\sum_{r = 0}^{n} (r + 1)^{n} C_{r} = (n + 2) 2^{n - 1} .

\sum_{r = 0}^{n} (r + 1)^{n} C_{r} x^{r} = (1 + x)^{n} + n x (1 + x)^{n - 1} .

n \geq 2,

\frac{1}{\sqrt{1}} + \frac{1}{\sqrt{2}} + . . . + \frac{1}{\sqrt{n}} > \sqrt{n}

\sqrt{n (n + 1)} < n + 1

H_{3} P O_{4}

H_{3} P O_{4}, H_{3} P O_{3} and H_{3} P O_{2}

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