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JEE Main & Advanced Sample Paper JEE Main Sample Paper-23

  • question_answer
    In process of amplitude modulation of signal to be transmitted. Signal to be modulated is given by \[m(t)={{A}_{m}}\sin {{\omega }_{m}}t\], carrier wave is given by \[c(t)={{A}_{c}}\sin {{\omega }_{c}}t\], modulated signal \[{{c}_{m}}(t)\] is given by

    A)  \[{{c}_{m}}(t)={{A}_{c}}\sin {{\omega }_{c}}t={{A}_{m}}\sin {{\omega }_{m}}t\]

    B)  \[{{c}_{m}}(t)={{A}_{c}}+{{A}_{m}})\sin {{\omega }_{c}}t\]

    C)  \[{{c}_{m}}(t)=[{{A}_{c}}+m(t)]\sin {{\omega }_{c}}t\]

    D)  None

    Correct Answer: C

    Solution :

    In amplitude modulation, amplitude of carrier wave varies with signal to be modulated. So, modulated signal \[{{c}_{m}}(t)\] is given by \[\Rightarrow \,\,{{c}_{m}}(t)\,=({{A}_{c}}+{{A}_{m}}\sin \,{{\omega }_{m}}\,(t)\,\sin \,{{\omega }_{c}}t\] As \[m(t)\,={{A}_{m}}\,\sin {{\omega }_{m}}t\]


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