CUET · PHYSICS · PYQ PAPER 2023

The point charges \( 5 \times 10^{-11} \, \text{C} \) and \( -5 \times 10^{-11} \, \text{C} \) are placed along z-axis at z = 3 cm and z = -3 cm respectively. What will be the electric field intensity at a point (0, 4)

A \(2.16 \times 10^{-5} \, \text{N/C} \)
B \( 2.16 \times 10^{2} \, \text{N/C} \)
C \( 2.16 \times 10^{-2} \, \text{N/C} \)
D Zero

Verified Solution

Answer & Solution

Correct Answer

(B) \( 2.16 \times 10^{2} \, \text{N/C} \)

Step-by-step Solution

Detailed explanation

\(q = 5 \times 10^{-11} \, \text{C}, a = 0.03 \, \text{m}, y = 0.04 \, \text{m}\) \(E = \frac{k \cdot (q \cdot 2a)}{(y^2 + a^2)^{3/2}}\) \(E = \frac{9 \times 10^9 \times (5 \times 10^{-11}) \times (2 \times 0.03)}{((0.04)^2 + (0.03)^2)^{3/2}}\)…

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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(A) Commensalism	(I) One species is benefitted at the expense of the other
(B) Mutualism	(II) One species is harmed and the other is unaffected
(C) Amensalism	(III) Both the species are benefitted
(D) Parasitism	(IV) One species benefits and other remains unaffected

Choose the correct answer from the options given below:

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