CUET · PHYSICS · PYQ PAPER 2023

A carrier wave of peak voltage 14 V is used to transmit a message. What should be the peak voltage of the modulating signal in order to have a modulation index of 70% ?

A 20.0 V
B 2.0 V
C 9.8 V
D 4.2 V

Verified Solution

Answer & Solution

Correct Answer

(C) 9.8 V

Step-by-step Solution

Detailed explanation

\( V_m = \mu \times V_c \) \( V_m = 0.70 \times 14 \, \text{V} \) \( V_m = 9.8 \, \text{V} \)

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	List-II
(A) Faraday's Law	(I) Current induced in a conductor moving perpendicular to a magnetic field
(B) Lenz's Law	(II) Direction of force on a straight current carrying conductor placed perpendicular to a magnetic field
(C) Fleming's right hand rule	(III) Magnitude of induced emf
(D) Fleming's left hand rule	(IV) Direction of induced current

Choose the correct answer from the options given below:

CUET 2025 Hard

A series LCR circuit with \( L = 5.0 \text{ H}, C = 80 \text{ } \mu\text{F} \) and \( R = 40 \text{ } \Omega \) is connected to a variable frequency 200 V source. The amplitude of current at the resonant frequency is

CUET 2025 Medium

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