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JEE MAINS 2024
25.01.23
Question
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 $$ \begin{array}{ll} & {\left[\left(f_{\mathrm{c}}+f_{\mathrm{cm}}\right)-\left(f_{\mathrm{c}}-f_{\mathrm{ch}}\right)\right]} \\ \Rightarrow & {[(2000+5)-(2000-5)] \mathrm{kHz}} \\ \Rightarrow & 10 \mathrm{kHz} \end{array} $$
Question Tags
JEE Main
Physics
Medium
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