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Given below are two statements : One is labelled as Assertion A and the other is labelled as Reason R.
Assertion A : $$n - p - n$$ transistor permits more current than a $$p - n - p$$ transistor.
Reason R : Electrons have greater mobility as a charge carrier.
We need to evaluate both the Assertion and the Reason about transistors.
Assertion A: An $$n-p-n$$ transistor permits more current than a $$p-n-p$$ transistor.
Analysis of Assertion A:
In an $$n-p-n$$ transistor, the majority charge carriers are electrons, while in a $$p-n-p$$ transistor, the majority charge carriers are holes.
Since the mobility of electrons is greater than the mobility of holes, the $$n-p-n$$ transistor allows more current to flow for the same applied voltage.
Therefore, Assertion A is true.
Reason R: Electrons have greater mobility as a charge carrier.
Analysis of Reason R:
This is a well-known fact. In semiconductors, the mobility of electrons ($$\mu_e$$) is greater than the mobility of holes ($$\mu_h$$).
Therefore, Reason R is true.
Is R the correct explanation of A?
Yes. The reason the $$n-p-n$$ transistor permits more current is precisely because electrons (the charge carriers in $$n-p-n$$) have higher mobility than holes (the charge carriers in $$p-n-p$$). So Reason R directly explains Assertion A.
Hence, the correct answer is Option A: Both A and R are true, and R is the correct explanation of A.
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