question_answer

                If a carrier wave \[c(t)=A\sin {{\omega }_{c}}t\] is amplitude modulated by a modulator single \[m(t)=A\sin {{\omega }_{m}}t\]then the equation of modulated signal \[\left[ {{C}_{\operatorname{m}}}\left( \operatorname{t} \right) \right]\]and its modulation index are respectively :                 JEE Main Online Paper (Held On 09 April 2013)

A)                 \[{{C}_{\operatorname{m}}}\left( \operatorname{t} \right)=A(1+\sin {{\omega }_{m}}t)\sin {{\omega }_{c}}t\]and 2                   

B)                 \[{{C}_{\operatorname{m}}}\left( \operatorname{t} \right)=A(1+\sin {{\omega }_{c}}t)\sin {{\omega }_{m}}t\]and 1                 

C)                 \[{{C}_{\operatorname{m}}}\left( \operatorname{t} \right)=A(1+\sin {{\omega }_{m}}t)\sin {{\omega }_{c}}t\]and 1                

D)                 \[{{C}_{\operatorname{m}}}\left( \operatorname{t} \right)=A(1+\sin {{\omega }_{c}}t)\sin {{\omega }_{m}}t\]and 2