JEE Main 2016PhysicsCommunication SystemMediumMCQ

JEE Main 2016 — Communication System Question with Solution

JEE Main 2016 (10 Apr Online)

Question

A modulated signal Cmt has the form Cmt=30sin⁡300πt+10 cos⁡200πt-cos⁡400πt. The carrier frequency fc , the modulating frequency (message frequency) fm , and the modulation index μ are respectively given by :

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Show full solutionCorrect option: B
Correct answer
Bfc=150 Hz;fm=50 Hz; μ=23

Step-by-step explanation

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C m (t)= A c sin( w c t)+ μ A c 2 [ cos( w c − w m )t−cos( w c + w m ) ]

μ A c 2 =10

A c =30

μ= 2 3

w c =2π f c =300π ⇒ f c =150Hz

w c − w m =200π

w m =100π

f m =50Hz

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About this question

This is a previous-year question from JEE Main 2016, 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.