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Question:
A signal Acos $t$ is transmitted using $v_{0} \sin \omega_{0} t$ as carrier wave. The correct amplitude modulated (AM) signal is:

$v_{0} \sin \omega_{0} t+\frac{\mathrm{A}}{2} \sin \left(\omega_{0}-\omega\right) t+\frac{\mathrm{A}}{2} \sin \left(\omega_{0}+\omega\right) t$
$v_{0} \sin \left[\omega_{0}(1+0.01 A \sin \omega t) t\right]$
$v_{0} \sin \omega_{0} \mathrm{t}+\mathrm{A} \cos \omega \mathrm{t}$
$\left(v_{0}+\mathrm{A}\right) \cos \omega \mathrm{t} \sin \omega_{0} \mathrm{t}$

Correct Option: 1

JEE Main Previous Year 1 Question of JEE Main from Physics Communication Systems chapter.

JEE Main Previous Year 9 April 2019 I

Solution:

(1)