Given the electric field of a complete amplitude modulated wave as ˆ 1 cos cos m c mc c E E iE t t E ® æ ö =+ w w ç ÷ è ø . Where the subscript c stands for the carrier wave and m for the modulating signal. The frequencies present in the modulated wave are

Question:

Given the electric field of a complete amplitude modulated wave as

$$

\vec{E}=\hat{i} E_{c}\left(1+\frac{E_{m}}{E_{c}} \cos \omega_{m} t\right) \cos \omega_{c} t

$$

Where the subscript $c$ stands for the carrier wave and $m$ for the modulating signal. The frequencies present in the modulated wave are

  1. $\omega_{c}$ and $\sqrt{\omega_{c}^{2}+\omega_{m}^{2}}$

  2. $\omega_{c}, \omega_{c}+\omega_{m}$ and $\omega_{c}-\omega_{m}$

  3. $\omega_{c}$ and $\omega_{m}$

  4. $\omega_{c}$ and $\sqrt{\omega_{c} \omega_{m}}$


Correct Option: 2

JEE Main Previous Year 1 Question of JEE Main from Physics Communication Systems chapter.
JEE Main Previous Year Online May 19, 2012

Solution:

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