CUET · PHYSICS · PYQ PAPER 2023

In a semiconductor let the number of charge carriers be n and the average drift speed be v. An electric field is applied to it. If we increase the temperature of this semiconductor then :

A n will increase but v will decrease
B both n and v will increase
C n will decrease but v will increase
D both n and v will decrease

Verified Solution

Answer & Solution

Correct Answer

(A) n will increase but v will decrease

Step-by-step Solution

Detailed explanation

For \(n\) : Increasing the temperature provides thermal energy that breaks covalent bonds, releasing more electron-hole pairs, so the number of charge carriers ( \(n\) ) increases. For \(v\) : Higher temperatures cause more frequent collisions between carriers and the lattice.…

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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