question_answer

A signal \[A\cos \omega t\] is transmitted using \[{{\text{v}}_{\text{0}}}\sin {{\omega }_{0}}t\] as carrier wave. The correct amplitude modulated (AM) signal is : [JEE Main 9-4-2019 Morning]

A) \[{{\text{v}}_{\text{0}}}\sin {{\omega }_{0}}t+A\cos \omega t\]

B) \[{{\text{v}}_{\text{0}}}\sin {{\omega }_{0}}t+\frac{A}{2}sin({{\omega }_{0}}-\omega )t+\frac{A}{2}\sin ({{\omega }_{0}}+\omega )t\]

C) \[\text{(}{{\text{v}}_{\text{0}}}+A)cos\omega t\sin {{\omega }_{0}}t\]

D) \[{{\text{v}}_{\text{0}}}sin[{{\omega }_{0}}(1+0.01A\,sin\omega t)t]\]

Correct Answer: B

Solution :

Option [b]