CUET · PHYSICS · PYQ PAPER 2023

If the electric field is given by \(E = (8i + 4j + 3k) NC^{-1}\), the electric flux passing through a surface of area 100 \(m^2\) lying in x-y plane would be :

A 800 \(N m^2 C^{-1}\)
B 300 \(N m^2 C^{-1}\)
C 400 \(N m^2 C^{-1}\)
D 100 \(N m^2 C^{-1}\)

Verified Solution

Answer & Solution

Correct Answer

(B) 300 \(N m^2 C^{-1}\)

Step-by-step Solution

Detailed explanation

\(\Phi_E = \vec{E} \cdot \vec{A}\) \(\vec{A} = 100\hat{k} \text{ m}^2\) \(\Phi_E = (8\hat{i} + 4\hat{j} + 3\hat{k}) \cdot (100\hat{k})\) \(\Phi_E = 3 \times 100 = 300 \text{ N m}^2 \text{ C}^{-1}\)

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

Two concentric coils, each of radius \( 2\pi \, \text{cm} \), are placed at right angles to each other. Currents of 3 A and 4 A respectively are flowing through the two coils. The magnetic induction at the center of the coils will be:

CUET 2025 Easy

Match List I with List II

LIST I	LIST II
A. Photodiode	I. junction area is kept much larger and biasing not required
B. Light emitting diode	II. used to detect intensity of radiation
C. Solar cell	III. Used as a voltage regulator
D. Zener diode	IV. emits spontaneous radiation under forward bias

Choose the correct answer from the options given below:

CUET 2023 Medium

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