JEE Main 2019 — Physics solution

JEE Main2019Physics

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

A
$v_{0} sin ω_{0} t + \frac{A}{2} sin (ω_{0} - ω) t + \frac{A}{2} sin (ω_{0} + ω) t$
B
$(v_{0} + A) cos ω t sin ω_{0} t$
C
$v_{0} sin ω_{0} t + A cos ω t$
D
$v_{0} sin [ω_{0} (1 + 0.01 A sin ω t) t]$

Solution

$A = (v_{0} + A cos ω t) sin ω_{0} t = v_{0} sin (ω_{0} t) + \frac{A}{2} [sin (ω_{0} - ω) t + sin (ω_{0} + ω) t]$

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