Question:medium

Assertion (A): We cannot form a p-n junction diode by taking a slab of a p-type semiconductor and physically joining it to another slab of an n-type semiconductor.
Reason (R): In a p-type semiconductor \( \eta_e \gg \eta_h \) while in an n-type semiconductor \( \eta_h \gg \eta_e \).

Show Hint

In semiconductors, p-n junctions are formed by joining p-type and n-type materials, regardless of the hole and electron concentration ratios.
  • Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of the Assertion (A).
  • Both Assertion (A) and Reason (R) are true, but Reason (R) is not the correct explanation of the Assertion (A).
  • Assertion (A) is true, but Reason (R) is false.
  • Assertion (A) is false and Reason (R) is also false.
Show Solution

The Correct Option is C

Solution and Explanation

To identify the correct conclusion, both the assertion and the reason will be examined.

Assertion (A): "A p-n junction diode cannot be created by simply joining a p-type semiconductor slab to an n-type semiconductor slab."

This assertion is accurate. A functional p-n junction diode is not formed when p-type and n-type semiconductors are physically joined without a continuous lattice structure. The interface will exhibit a high density of defects and inconsistencies, obstructing proper charge carrier movement and the formation of the depletion region essential for diode operation.

Reason (R): "In a p-type semiconductor \( \eta_e \gg \eta_h \) while in an n-type semiconductor \( \eta_h \gg \eta_e \)."

This reason is incorrect. In a p-type semiconductor, the concentration of holes (\( \eta_h \)) significantly exceeds that of electrons (\( \eta_e \)), meaning \( \eta_h \gg \eta_e \). Conversely, in an n-type semiconductor, the concentration of electrons (\( \eta_e \)) is substantially greater than that of holes (\( \eta_h \)), indicated by \( \eta_e \gg \eta_h \).

Considering that the assertion is true and the provided reason contains an error, the conclusion is as follows:

Correct Answer: Assertion (A) is true, but Reason (R) is false.

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