MHT CET · Physics · Semiconductors

In a p-type semiconductor,

A holes are majority carriers and trivalent atoms are dopants.
B electrons are minority carriers and pentavalent atoms are dopants.
C electrons are majority carries and pentavalent atoms are dopants.
D holes are minority carriers and trivalent atoms are dopants.

Verified Solution

Answer & Solution

Correct Answer

(A) holes are majority carriers and trivalent atoms are dopants.

Step-by-step Solution

Detailed explanation

The correct option is (A)
Concept-Based Question: Option A is true because trivalent atoms are used to dope tetravalent semiconductor materials such as Si or Ge. Doping with impurity in a minor amount generates the majority of carriers (as roughly one impurity atom generates one hole!).

Apply the relevant identity from the chapter and substitute the values established in the previous step, keeping the original constraint in view.

Use the simplified expression to isolate the unknown, then plug the result back into the question setup to confirm the working is internally consistent.

Cross-check against a boundary or limiting case. Both the dimensional balance and the qualitative behaviour at the extreme should agree with the candidate answer.

Combine the steps above to identify the correct option. The remaining choices each fail at least one of the consistency, dimensional, or boundary checks.

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