CUET · PHYSICS · PYQ PAPER 2023

The charge flowing in an electrical circuit is given by the equation \( Q = t^2 - 2t + 4 \). The current in the circuit at \( t = 2 \text{ sec} \) is:

A 2 A
B 0 A
C 4 A
D 3 A

Verified Solution

Answer & Solution

Correct Answer

(A) 2 A

Step-by-step Solution

Detailed explanation

\( I = \frac{dQ}{dt} = \frac{d}{dt}(t^2 - 2t + 4) = 2t - 2 \) \( I(2) = 2(2) - 2 = 4 - 2 = 2 \text{ A} \)

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

The relative motion between the magnet and a coil is responsible for generation (induction) of electric current in the coil. This is in accordance with

CUET 2025 Easy

Match List-I with List-II

List-I	List-II
(A) Magnifying power of a simple microscope	(I) \( \frac{L}{f_o} \times \frac{D}{f_e} \)
(B) Magnifying power of a compound microscope	(II) \( \frac{f_o}{f_e} \left(1 + \frac{f_e}{D}\right) \)
(C) Magnifying power of a telescope (normal adjustment)	(III) \( 1 + \frac{D}{f_e} \)
(D) Magnifying power of a telescope when final image is formed at least distance of distinct vision	(IV) \( \frac{f_o}{f_e} \)

Choose the correct answer from the options given below:

CUET 2023 Easy

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