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(A) The modulation index $\mu$ is given by $\mu = 0.5 = \frac{1}{2}$.In an amplitude-modulated wave,the amplitude of the sidebands $(A_{SB})$ is relat

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$4 : 1$

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(A) The modulation index $\mu$ is given by $\mu = 0.5 = \frac{1}{2}$.In an amplitude-modulated wave,the amplitude of the sidebands $(A_{SB})$ is related to the amplitude of the carrier wave $(A_C)$ by the formula $A_{SB} = \frac{\mu A_C}{2}$.Therefore,the ratio of the amplitude of the sideband to the carrier wave is $\frac{A_{SB}}{A_C} = \frac{\mu}{2} = \frac{0.5}{2} = 0.25 = \frac{1}{4}$.The question asks for the ratio of the amplitude of the carrier wave to that of the sideband,which is $\frac{A_C}{A_{SB}} = \frac{4}{1} = 4:1$.

In an amplitude modulation with modulation index $0.5$,the ratio of the amplitude of the carrier wave to that of the side band in the modulated wave is

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