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Question

If a message signal of frequency fm is amplitude modulated with a carrier signal of frequency fc and radiated through an antenna , the wavelength of the corresponding signal in air is :
[ Given , c = speed of electromagnetic wave in vacuum/air ]

A
cfc+fm
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B
cfcfm
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C
cfm
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D
cfc
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Solution

The correct option is D cfc
The equation of an amplitude modulated wave is given by :

y=(Ac+Amsinωmt)sinωct

Here , ωc = angular frequency of modulated signal

Thus , frequency of modulated signal = fc

Hence , wavelength (λ) = vf = cfc

Option (d) is the correct answer .


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