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

• A. \[{{\omega }_{C}}\] and \[\sqrt{\omega _{C}^{2}+\omega _{m}^{2}}\]
• B. \[{{\omega }_{C}},\,{{\omega }_{C}}+{{\omega }_{m}}\] and \[{{\omega }_{C}}-{{\omega }_{m}}\]
• C. \[{{\omega }_{C}}\] and  \[{{\omega }_{m}}\]
• D. \[{{\omega }_{C}}\] and \[\sqrt{{{\omega }_{C}}{{\omega }_{m}}}\]