A modulated signal is given by $C_m(t)=A_c \sin \omega_c t+\mu A_c \sin \omega_m t \sin \omega_c t$, where…

A modulated signal is given by $C_m(t)=A_c \sin \omega_c t+\mu A_c \sin \omega_m t \sin \omega_c t$, where $\mu$ is modulation index. To keep the signal without distortion, the value of $\mu$ should be
  1. >1
  2. ≥ 1
  3. = 1
  4. ≤ 1

Solution

Modulation index $\mu$ is given by
$\mu=\frac{A_m}{A_c}$
where, $A_m$ and $A_c$ are amplitude of modulating wave and carrier wave.
$\Rightarrow$ To keep signal without distortion,
$\begin{gathered}
A_m \leq A_c \\
\mu \leq 1
\end{gathered}$

Asked in: AP EAMCET 2018 (24 Apr Shift 1)

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