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Question

Physics Question on communication systems

What modulation index and side bands are produced when a message of frequency 10kHz10 \,kHz and peak voltage of 1010 volts is used to modulate a carrier frequency of 1MHz1 \,MHz and peak voltage of 20 volts ?

A

Modulation index is 11 . The side bands are 1010990kHz1010-990\, kHz

B

Modulation index is 0.50.5 . The side bands are 1010990kHz1010-990 \,kHz

C

Modulation index is 22 . The side bands are 1020980kHz1020-980 \,kHz

D

Modulation index is 0.50.5 . The side bands are 1020980kHz1020 - 980 \,kHz

Answer

Modulation index is 0.50.5 . The side bands are 1010990kHz1010-990 \,kHz

Explanation

Solution

Modulation Index =1020=0.5=\frac{10}{20}=0.5
Sides bands are at (1000+10KHz)(1000+10\,KHz)
=1010kHz=1010\,kHz
and (100010KHz)(1000-10\,KHz)
=990KHz=990\, KHz