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Question

Physics Question on communication systems

In the amplitude modulation mode of transmission, the normal speed signal is with a maximum frequency of 5kHz5\, kHz. If the carrier frequency is 200kHz200\, kHz, the modulated signal will have the frequencies varying between

A

190 kHz to 210 kHz

B

195 kHz to 205 kHz

C

195 kHz to 200 kHz

D

200 kHz to 205 kHz

Answer

195 kHz to 205 kHz

Explanation

Solution

Given, carrier wave frequency fc=200kHzf_{c}=200 \,kHz
and message signal frequency fm=5kHzf_{m}=5 \,kHz.
In amplitude modulation the lower and upper side frequencies are given as,
fmax=fc+fmf_{\max }=f_{c}+f_{m}
and fmin=fcfmf_{\min }=f_{c}-f_{m}
So, by putting the values, we get
fmax=200+5=205kHzf_{\max }=200+5=205 \,kHz
and fmin=2005=195kHzf_{\min }=200-5=195 \,kHz