CUET · PHYSICS · PYQ PAPER 2023

Three resistances of magnitude \(2 \Omega\), \(3 \Omega\) and \(5 \Omega\) are connected in parallel to a battery of 10 V and of negligible resistance. The potential difference across \(3 \Omega\) resistance will be:

A 2 V
B 3 V
C 5 V
D 10 V

Verified Solution

Answer & Solution

Correct Answer

(D) 10 V

Step-by-step Solution

Detailed explanation

In a parallel circuit, the potential difference across each component is the same as the source voltage. Potential difference across \(3 \, \Omega\) resistance \( = 10 \, V\).

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 Physical Quantity	List II Dimensional Formula
(A) Capacitance	(I) \( [M L^3 T^{-3} A^{-1}] \)
(B) Electric Flux	(II) \( [M L^2 T^{-3} A^{-1}] \)
(C) Potential	(III) \( [L^{-2} A T] \)
(D) Polarisation	(IV) \( [M^{-1} L^{-2} T^4 A^2] \)

Choose the correct answer from the options given below:

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Metal	Work Function (eV)
Na	1.92
K	2.15
Ca	3.20
Mo	4.17

List-I	List-II
(A) Resonant frequency	(I) \( \frac{\omega L}{R} \)
(B) Quality factor	(II) \( 2\pi f L \)
(C) \( X_L \)	(III) \( \frac{1}{2\pi\sqrt{LC}} \)
(D) \( X_C \)	(IV) \( 1/2\pi f c \)