MCQEasyJEE 2023Semiconductors Basics

JEE Physics 2023 Question with Solution

Match the List I with List II:

Table showing List I and List II for semiconductor types and corresponding Fermi-level positions to be matched.List I contains intrinsic semiconductor, n-type semiconductor, p-type semiconductor, and metals; List II contains Fermi-level positions near bands and at middle.

Choose the correct answer from the options given below:

  • A

    (A) \to I, (B) \to II, (C) \to III, (D) \to IV

  • B

    (A) \to II, (B) \to I, (C) \to III, (D) \to IV

  • C

    (A) \to II, (B) \to III, (C) \to I, (D) \to IV

  • D

    (A) \to III, (B) \to I, (C) \to II, (D) \to IV

Answer

Correct answer:D

Step-by-step solution

Standard Method

Given: Match semiconductor types and metals with the correct position of the Fermi-level.

Find: The correct option.

For an intrinsic semiconductor, the Fermi-level lies at the middle of the valence and conduction bands, so A \to II.

For an n-type semiconductor, the Fermi-level lies near the conduction band, so B \to I.

For a p-type semiconductor, the Fermi-level lies near the valence band, so C \to III.

For metals, the Fermi-level lies inside the conduction band, so D \to IV.

Thus the matching is:

AII,  BI,  CIII,  DIVA \to II,\; B \to I,\; C \to III,\; D \to IV

Therefore, the correct option is D.

Common mistakes

  • Placing the Fermi-level of an intrinsic semiconductor near one band is wrong because in a pure semiconductor it lies approximately at the middle of the band gap. Match intrinsic semiconductor with II.

  • Confusing n-type and p-type semiconductors is a common error. In n-type, electrons are majority carriers so the Fermi-level shifts toward the conduction band; in p-type, it shifts toward the valence band.

  • Assuming metals have a band gap like semiconductors is incorrect. In metals, the Fermi-level lies inside the conduction band, so it must be matched with IV.

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