CUET · PHYSICS · PYQ PAPER 2025

If both the number of turns and length of an inductor are tripled, keeping other factors constant, the self inductance of the inductor will be:

A tripled
B doubled
C four times its initial value
D Unchanged

Verified Solution

Answer & Solution

Correct Answer

(A) tripled

Step-by-step Solution

Detailed explanation

\( L = \frac{\mu N^2 A}{l} \) \( L' = \frac{\mu (3N)^2 A}{3l} \) \( L' = \frac{9 \mu N^2 A}{3l} = 3 \frac{\mu N^2 A}{l} = 3L \) tripled

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.

Same subject

Match List-I with List-II

List-I (Electromagnetic Waves)	List-II (Production)
(A) Radio waves	(I) Vibration of atoms and molecules
(B) X-rays	(II) originates from an atomic nucleus
(C) \( \gamma \)-radiation	(III) produced by accelerating electrons in a circuit
(D) infrared waves	(IV) emitted from heavy atoms

Choose the correct answer from the options given below:

CUET 2025 Easy

A circular loop of 20 turns carries a current of 5.0 A. If the magnetic field at the centre of the loop is 1.57 mT, the radius of the loop would be :

CUET 2023 Medium

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