If a carrier wave c(t) = A sin wc t is amplitude modulated by a modulator signal m(t) = A sin wm t then the equation of modulated signal [Cm (t)] and its modulation index are respectively

Question:

If a carrier wave $c(t)=A \sin \omega_{c} t$ is amplitude modulated by a modulator signal $\mathrm{m}(\mathrm{t})=\mathrm{A} \sin \omega_{\mathrm{m}} \mathrm{t}$ then the equation of modulated signal $\left[\mathrm{C}_{\mathrm{m}}(\mathrm{t})\right]$ and its modulation index are respectively

  1. $C_{m}(t)=A\left(1+\sin \omega_{m} t\right) \sin \omega_{c} t$ and 2

  2. $C_{m}(t)=A\left(1+\sin \omega_{m} t\right) \sin \omega_{m} t$ and 1

  3. $C_{m}(t)=A\left(1+\sin \omega_{m} t\right) \sin \omega_{c} t$ and 1

  4. $C_{m}(t)=A\left(1+\sin \omega_{c} t\right) \sin \omega_{m} t$ and 2


Correct Option: 3

JEE Main Previous Year 1 Question of JEE Main from Physics Communication Systems chapter.
JEE Main Previous Year Online April 9, 2013

Solution:

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