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Physics Question on communication systems

In an amplitude modulation with modulation index 0.50.5, the ratio of the amplitude of the carrier wave to that of the side band in the modulated wave is

A

4:14 : 1

B

1:41 : 4

C

1:21 : 2

D

2:12 : 1

Answer

4:14 : 1

Explanation

Solution

Modulation index =0.5=12=0.5 =\frac{1}{2}
Aside band =μAC2A_{\text {side band }} =\frac{\mu A C}{2}
Aside band AC=μ2=14\frac{A_{\text {side band }}}{A C} =\frac{\mu}{2}=\frac{1}{4}
or ACAside band =41\frac{A C}{A_{\text {side band }}} =\frac{4}{1}