Answer
430.2k+ views
Hint: First of all we have to find the formula of the side band in a modulated wave. It is given by the equation,
$side band=\dfrac{\mu {{A}_{C}}}{2}$
Find out the side band of the carrier wave also. Take the ratio of both of them. This will give the required answer for the question.
Complete step-by-step answer:
First of all let us write the terms mentioned in the question and their values.
The modulation index of the wave in the amplitude modulation is given as,
$\mu =0.5$
The side band in a modulated wave is given by the equation,
$side band=\dfrac{\mu {{A}_{C}}}{2}$
Where $\mu $ be the modulation index and ${{A}_{C}}$ be the side band in the carrier wave.
The side band in the carrier wave is given by the equation,
$sideband={{A}_{C}}$
Taking the ratio on both the side band will give,
$\dfrac{{{A}_{C}}}{\dfrac{\mu {{A}_{C}}}{2}}=ratio$
We can take the $2$ in to the numerator so that the equation becomes,
$\dfrac{2{{A}_{C}}}{\mu {{A}_{C}}}=ratio$
Cancel the common terms in it will give,
$\dfrac{2}{\mu }=ratio$
Substituting the value of modulation index in this equation will give,
$\dfrac{2}{0.5}=ratio$
That is we can say that the ratio between carrier wave and amplitude wave is,
$ratio=4:1$
Therefore the answer for the question is obtained. The correct answer is option A.
Note: Amplitude modulation is defined as a way of modulating a wave in order to transmit messages with the help of a carrier wave commonly. In an amplitude modulation, the amplitude of the signal strength of the carrier wave is changed which is proportional to that of the message signal, such as an audio signal. Currently, this is widely used in electronic communication. This process is used in portable two-way radios, citizens band radio, and VHF aircraft radio and in modems for computers.
$side band=\dfrac{\mu {{A}_{C}}}{2}$
Find out the side band of the carrier wave also. Take the ratio of both of them. This will give the required answer for the question.
Complete step-by-step answer:
First of all let us write the terms mentioned in the question and their values.
The modulation index of the wave in the amplitude modulation is given as,
$\mu =0.5$
The side band in a modulated wave is given by the equation,
$side band=\dfrac{\mu {{A}_{C}}}{2}$
Where $\mu $ be the modulation index and ${{A}_{C}}$ be the side band in the carrier wave.
The side band in the carrier wave is given by the equation,
$sideband={{A}_{C}}$
Taking the ratio on both the side band will give,
$\dfrac{{{A}_{C}}}{\dfrac{\mu {{A}_{C}}}{2}}=ratio$
We can take the $2$ in to the numerator so that the equation becomes,
$\dfrac{2{{A}_{C}}}{\mu {{A}_{C}}}=ratio$
Cancel the common terms in it will give,
$\dfrac{2}{\mu }=ratio$
Substituting the value of modulation index in this equation will give,
$\dfrac{2}{0.5}=ratio$
That is we can say that the ratio between carrier wave and amplitude wave is,
$ratio=4:1$
Therefore the answer for the question is obtained. The correct answer is option A.
Note: Amplitude modulation is defined as a way of modulating a wave in order to transmit messages with the help of a carrier wave commonly. In an amplitude modulation, the amplitude of the signal strength of the carrier wave is changed which is proportional to that of the message signal, such as an audio signal. Currently, this is widely used in electronic communication. This process is used in portable two-way radios, citizens band radio, and VHF aircraft radio and in modems for computers.
Recently Updated Pages
Mark and label the given geoinformation on the outline class 11 social science CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
When people say No pun intended what does that mea class 8 english CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Name the states which share their boundary with Indias class 9 social science CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Give an account of the Northern Plains of India class 9 social science CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Change the following sentences into negative and interrogative class 10 english CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Advantages and disadvantages of science
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Trending doubts
Bimbisara was the founder of dynasty A Nanda B Haryanka class 6 social science CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Which are the Top 10 Largest Countries of the World?
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Difference between Prokaryotic cell and Eukaryotic class 11 biology CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Differentiate between homogeneous and heterogeneous class 12 chemistry CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
10 examples of evaporation in daily life with explanations
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Fill the blanks with the suitable prepositions 1 The class 9 english CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Give 10 examples for herbs , shrubs , climbers , creepers
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
How do you graph the function fx 4x class 9 maths CBSE
![arrow-right](/cdn/images/seo-templates/arrow-right.png)
Difference Between Plant Cell and Animal Cell
![arrow-right](/cdn/images/seo-templates/arrow-right.png)