A signal of 5 kHz frequency is amplitude modulated on a carrier wave of frequency 2 MHz . The frequencies of the resultant signal is/are:
- (A)2005 kHz , and 1995 kHz
- (B) and 1995 kHz✓ Correct
- (C)2000 kHz and 1995 kHz
- (D)2 MHz only
Answer: (B)
Solution
Amplitude modulation multiplies the message onto the carrier, and the algebra of that product splits the spectrum into three lines: the carrier itself and two sidebands, one modulating frequency above and one below it. With carrier kHz and signal kHz, these sit at kHz, kHz, and kHz. All three frequencies are present in the modulated wave.
JEE Main · 2015 · 04 Apr 2015 · Offline · Single correct option