A message signal of frequency 5 kHz is used to modulate a carrier signal of frequency 2 MHz. The bandwidth for amplitude modulation is:
Select the correct option:
A
5 kHz
B
10 kHz
C
10 kHz
D
2.5 kHz
✓ Correct! Well done.
✗ Incorrect. Try again or view the solution.
Solution
Sol. Given, Signal frequency $f_{\mathrm{Ar}}=5 \mathrm{kHz}$
Carrier wave frequency $\mathrm{f}_{\mathrm{c}}=2 \mathrm{MHz}$
$$
\mathrm{f}_{\mathrm{c}}=2000 \mathrm{KHz}
$$
The resultant signal will have band width of frequency given by
$$
\begin{array}{ll}
& {\left[\left(f_{\mathrm{c}}+f_{\mathrm{cm}}\right)-\left(f_{\mathrm{c}}-f_{\mathrm{ch}}\right)\right]} \\
\Rightarrow & {[(2000+5)-(2000-5)] \mathrm{kHz}} \\
\Rightarrow & 10 \mathrm{kHz}
\end{array}
$$
Hello 👋 Welcome to Competishun – India’s most trusted platform for JEE & NEET preparation. Need help with JEE / NEET courses, fees, batches, test series or free study material? Chat with us now 👇