For a common emitter configuration, if ' α ' and ' β ' have their… | MHT CET 2023 (14 May, Shift 1)

Q42MHT CET 2023 · 14 MAY · SHIFT 1Easy

Junction Transistor

For a common emitter configuration, if ' $\alpha$ ' and ' $\beta$ ' have their usual meanings, the incorrect relation between ' $\alpha$ ' and ' $\beta$ ' is

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Answer: (b)

Correct relations: $\alpha = \dfrac{\beta}{1+\beta}$ and $\beta = \dfrac{\alpha}{1-\alpha}$ .
Taking reciprocals of $\alpha = \dfrac{\beta}{1+\beta}$ : $\dfrac{1}{\alpha} = \dfrac{1}{\beta} + 1$ , which also gives $\dfrac{1}{\beta} = \dfrac{1}{\alpha} - 1$ . So (a), (c), (d) are correct.
$\alpha = \dfrac{\beta}{1-\beta}$ does not follow; it would make $\alpha < 0$ for $\beta > 1$ .
So the answer is (b).

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Junction Transistor question from MHT CET 2023 (14 May, Shift 1)

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