CUET · PHYSICS · PYQ PAPER 2023

A circuit containing a \( 80 \text{ mH} \) inductor and a \( 60 \mu\text{F} \) capacitor in series is connected to a \( 200 \text{ V, 50 Hz} \) supply. The resistance of the circuit is negligible. The average power (average over one cycle) transferred to capacitor is:

A \( 1.2 \text{ W} \)
B \( 6 \text{ kW} \)
C \( 1.2 \text{ MW} \)
D \( 0 \)

Verified Solution

Answer & Solution

Correct Answer

(D) \( 0 \)

Step-by-step Solution

Detailed explanation

The average power transferred to a purely capacitive circuit over one complete cycle is zero. \( 0 \)

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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Match List - I with List - II.

List - I	List - II
(A) \( \oint \vec{B} \cdot d\vec{A} = 0 \)	(I) Gauss's Law of electricity
(B) \( \oint \vec{E} \cdot d\vec{A} = \frac{Q}{\epsilon_0} \)	(II) Gauss's Law of magnetism
(C) \( \oint \vec{B} \cdot dl = \mu_0 i_c + \mu_0 \epsilon_0 \frac{d\phi_E}{dt} \)	(III) Faraday's Law
(D) \( \oint \vec{E} \cdot dl = -\frac{d\phi_B}{dt} \)	(IV) Ampere-Maxwell Law

Choose the correct answer from the options given below :

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Match List-I with List-II (Symbols have their usual meanings)

List-I (Physical Quantity)	List-II (Expression)
(A) Current density	(I) \( \frac{e E \tau}{m} \)
(B) Drift velocity	(II) \( \frac{n e^2 \tau}{m} \)
(C) Conductivity	(III) \( \frac{e \tau}{m} \)
(D) Mobility	(IV) \( n e v_d \)

Choose the correct answer from the options given below:

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The current in a resistive series circuit is 7.0 A. On adding a resistance of 1.6 \( \Omega \) in the same circuit in series, the current drops to 5.0 A. The original resistance of the circuit is :

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From CUET

Match List-l with List-II

List-l (Solutions)	List-II (Explanation)
(A) Saturated solution	(I) Solution having two components.
(B) Isotonic solutions	(II) A solution whose osmotic pressure is more than that of another.
(C) Binary solution	(III) A solution which contains the maximum amount of solute that can be dissolved in a given amount of solvent at a given temperature.
(D) Hypertonic solution	(IV) The solutions having same osmotic pressure at a given temperature.

Choose the correct answer from the options given below :

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List-I	List-II
(A) Point of local Maxima	(I) 1
(B) Point of local Minima	(II) -1
(C) Local maximum value	(III) 2
(D) Local minimum value	(IV) - 2