CUET · PHYSICS · PYQ PAPER 2023

A parallel plate air capacitor has a capacity C, distance of separation between its plates is x and potential difference applied across the plates is V. What is the force of attraction between the plates of the parallel plate air capacitor?

A \( \frac{C^2V^2}{2x^2} \)
B \( \frac{CV^2}{x} \)
C \( \frac{C^2V^2}{2x} \)
D \( \frac{CV^2}{2x} \)

Verified Solution

Answer & Solution

Correct Answer

(D) \( \frac{CV^2}{2x} \)

Step-by-step Solution

Detailed explanation

\( E = \frac{V}{x} \) \( F = \frac{1}{2}QE = \frac{1}{2}(CV)\left(\frac{V}{x}\right) = \frac{CV^2}{2x} \)

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

Explore more questions on app

From CUET

Explore more questions on app

LIST I	LIST II
(A) Metabolic Disorder	(I) Family tree over generation
(B) Pedigree analysis	(II) Blood disease
(C) Thalassemia	(III) Phenylketonuria
(D) Trisomy of 21st chromosome	(IV) Down's Syndrome