JEE Main 2023PhysicsCommunication SystemMediumMCQ

JEE Main 2023 — Communication System Question with Solution

JEE Main 2023 (12 Apr Shift 1)

Question

The amplitude of 15 sin(1000 πt) is modulated by 10 sin(4 πt) signal. The amplitude modulated signal contains frequencies of

A. 500 Hz

B. 2 Hz

C. 250 Hz

D. 498 Hz

E. 502 Hz

Choose the correct answer from the options given below

Choose an option

Show full solutionCorrect option: D
Correct answer
DA, D and E only

Step-by-step explanation

The carrier wave frequency is given by

fc=1000π2π= 500 Hz

The modulating wave frequency is given by

fm=4π2π= 2 Hz

Hence, the frequencies contained in the modulated signal are given by

f=fc-fm,fm,fc+fm=498 Hz, 500 Hz, 502 Hz

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About this question

This is a previous-year question from JEE Main 2023, covering the Communication System chapter of Physics. PrepSharp catalogues every PYQ from JEE Main with a verified answer key and step-by-step solution prepared by IIT alumni — so you can search by chapter, topic or year and revise efficiently.