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Audio sine waves of 3 kHz frequency are ...

Audio sine waves of 3 kHz frequency are used to amplitude modulate a carrier signal of 1.5 MHz. Which of the following statements are true?

A

The side band frequencies are 1506 KHz and 1494 KHz

B

The bandwidth required for amplitude modulation is 6 MHz

C

The bandwidth required for amplitude modulation is 3 MHz

D

The side band frequencies are 1503 KHz and 1497 KHz

Text Solution

Verified by Experts

The correct Answer is:
D
Frequency (fc) of carrier signal = 1.5 MHz
`therefore f_c = 1.5 xx10^6` Hz = 1500 KHz
Frequency of modulating signal (fm) = 3 KHz
`therefore` Upper side band fequency (USB) = 1500 + 3 = 1503 KHz and Lower side band frequency (LSB) = 1500- 3 = 1497 KHz
and bandwidth =`2f_m=2xx3`= 6 KHz
Thus (d) is the correct choice .
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