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The data for Q. 75-76 are given below. Solve the problems and choose the correct answers.

Let $m(t)=\cos \left[\left(4 \pi \times 10^{3}\right) t\right]$ be the message signal and $\left.c(t)=5 \cos \left[2 \pi \times 10^{b}\right) t\right]$ be the carrier

$c(t)$ and $m(t)$ are used to generate an AM signal. The modulation index of the generated AM signal is $0.5.$ Then the quantity $\frac{\text { Total sideband power }}{\text { Carrier power }}$ is

  1. $\frac{1}{2}$
  2. $\frac{1}{4}$
  3. $\frac{1}{3}$
  4. $\frac{1}{8}$
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