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QJEEM23Ph22dd: JEE Main 2023 Physics - Class 12 JEEM23Ph22dd Solution: A modulating signal is a square wave, as shown in the figure.…

A modulating signal is a square wave, as shown in the figure.

JEE Main 2023 (Online) 24th January Morning Shift Physics - Communication Systems Question 13 English

If the carrier wave is given as c(t)=2sin⁡(8πt)\mathrm{c(t) = 2\sin(8\pi t)} volts, the modulation index is :

Multiple Choice Options

  • A 13\frac{1}{3}
  • B 1
  • C 14\frac{1}{4}
  • D 12\frac{1}{2}

Step-by-Step Verified Solution

Am=A_{m}= Amplitude of modulating wave =1=1 volt

Ac=A_{c}= Amplitude of carrier wave =2=2 volt

Modulation index =AmAc=12=12=\frac{A_{m}}{A_{c}}=\frac{1}{2}=\frac{1}{2}

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