A signal wave of frequency 12 kHZ is modulated with a carrier wave of frequency 2.51 MHz . The upper and lower side band frequencies are respectively

Question

A signal wave of frequency 12 kHZ is modulated with a carrier wave of frequency 2.51 MHz . The upper and lower side band frequencies are respectively (A) 2512 kHz and 2508 kHz (B) 2522 kHz and 2488 kHz (C) 2502 kHz and 2498 kHz (D) 2522 kHz and 2498 kHz

Tardigrade Admin · Accepted Answer

Upper side band (USB) frequency =fc+fm =(2.51) text MHz+(12) text kHz =(2510+12) text kHz =2522 text kHz Lower side band (LSB) frequency =fc-fm =(2.51) text MHz-(12) text kHz =(2510-12) text kHz =2498 text kHz

Q. A signal wave of frequency $12 k H Z$ is modulated with a carrier wave of frequency $2.51 M Hz$ . The upper and lower side band frequencies are respectively

$2512 k Hz$ and $2508 k Hz$

$2522 k Hz$ and $2488 k Hz$

$2502 k Hz$ and $2498 k Hz$

$2522 k Hz$ and $2498 k Hz$

$2512 k Hz$ and $2488 k Hz$

Upper side band (USB) frequency
$= f_{c} + f_{m}$ $= (2.51) M Hz + (12) k Hz$
$= (2510 + 12) k Hz$ $= 2522 k Hz$
Lower side band (LSB) frequency $= f_{c} - f_{m}$
$= (2.51) M Hz - (12) k Hz$
$= (2510 - 12) k Hz$
$= 2498 k Hz$

Q. A signal wave of frequency 12kHZ is modulated with a carrier wave of frequency 2.51MHz . The upper and lower side band frequencies are respectively

2512kHz and 2508kHz

2522kHz and 2488kHz

2502kHz and 2498kHz

2522kHz and 2498kHz

2512kHz and 2488kHz

Upper side band (USB) frequency =fc​+fm​ =(2.51)MHz+(12)kHz =(2510+12)kHz =2522kHz Lower side band (LSB) frequency =fc​−fm​ =(2.51)MHz−(12)kHz =(2510−12)kHz =2498kHz