A speech signal of 3 kHz is used to modulate a carrier signal of frequency 1 MHz, using amplitude modulation. The frequencies of the sidebands will be
A speech signal of 3 kHz is used to modulate a carrier signal of frequency 1 MHz, using amplitude modulation. The frequencies of the sidebands will be

(a) 1.003 MHz and 0.997 MHz

(b) 3001 kHz and 2997 kHz

(c) 1003 kHz and 1000 kHz

(d) 1 MHz and 0.997 MHz

Answer:

The correct option is (a) 1.003 MHz and 0.997 MHz

Explanation:

$ {{\omega }_{c}}=1MHz={{10}^{6}}Hz $

$ {{\omega }_{m}}=3kHz=3000Hz $

$ {{\omega }_{c}}+{{\omega }_{m}}=1003000Hz=1.003MHz $

$ {{\omega }_{c}}-{{\omega }_{m}}=997000Hz=0.997MHz $