Q160 / 160 · TS EAMCET 2023 (12 May Shift 1) · Physics
A message signal of frequency $10 \mathrm{kHz}$ is used to modulate a carrier wave of frequency $6 \mathrm{MHz}$, then the side band frequencies are
- A$6090 \mathrm{kHz}, 610 \mathrm{kHz}$
- Correct answerB$5990 \mathrm{kHz}, 6010 \mathrm{kHz}$
- C$6000 \mathrm{kHz}, 1000 \mathrm{kHz}$
- D$6000 \mathrm{kHz}, 6100 \mathrm{kHz}$
Solution
Signal frequency, $\mathrm{f}_{\mathrm{m}}=10 \mathrm{kHz}$
Carrier frequency, $f_c=6000 \mathrm{kHz}$
Side band frequency, $f^{\prime}=f_c+f_m$
$\begin{aligned}
& =6000+10 \\
& =6010 \mathrm{kHz} \\
& \mathrm{f}^{\prime \prime}=\mathrm{f}_{\mathrm{c}}-\mathrm{f}_{\mathrm{m}} \\
& =6000-10 \\
& =5990 \mathrm{kHz}
\end{aligned}$
Hence, the correct answer is option: 'B'.