JEE Main & Advanced Physics Communication System / संचार तंत्र Question Bank Self Evaluation Test - Communication System

  • question_answer
    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 \[\sqrt{{{\omega }_{C}}{{\omega }_{m}}}\]

    Correct Answer: B

    Solution :

    [b] The frequencies present in amplitude modulated wave are: Carrier frequency \[={{\omega }_{c}}\] Upper side band frequency \[={{\omega }_{c}}+{{\omega }_{m}}\] Lower side band frequency \[={{\omega }_{c}}-{{\omega }_{m}}\]


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