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Question

A carrier signal C(t)=25sin(2.512×1010t) is amplitude modulated by a message signal m(t)=5sin(1.57×108t) and transmitted through an antenna. What will be bandwidth of the modulated signal?

A
1987.5 MHz
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B
2.01 GHz
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C
50 MHz
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D
8 GHz
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Solution

The correct option is C 50 MHz
Bandwidth of modulated signal is given by,
β=2fm(t) Where fm is frequency of message signal.
Given, ωm=1.57×108 rad/s
β=2×1.57×1082π
β=50 MHz

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