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Question: A speech signal of 3 kHz is used to modulate a carrier signal of frequency 1 MHz, using amplitude mo...

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

1.003 MHz and 0.997 MHz

Explanation

Solution

: Here , υc=1MHz,υm=3kHz=0.003MHz\upsilon_{c} = 1MHz,\upsilon_{m} = 3kHz = 0.003MHz

The frequencies of the side bands

=(υc+υm)and(υcυm)= (\upsilon_{c} + \upsilon_{m})and(\upsilon_{c} - \upsilon_{m})

=(1+0.003)and(10.003)= (1 + 0.003)and(1 - 0.003)

=1.003MHzand0.997MHz= 1.003MHzand0.997MHz