JEE Main20199 Apr 2019Morning ShiftPhysicsCommunication SystemActual
A signal A c o s ω t is transmitted using ν 0 s i n ω 0 t as carrier wave. The correct amplitude modulated ( A M ) signal is:
Options
- Aν 0 s i n [ ω 0 1 + 0.01 A s i n ω t t ]
- Bν 0 + A c o s ω t s i n ω 0 t
- Cν 0 s i n ω 0 t + A c o s ω t
- Dν 0 s i n ω 0 t + A 2 sin ω 0 - ω t + A 2 sin ω 0 + ω t
Correct answer
D. ν 0 s i n ω 0 t + A 2 sin ω 0 - ω t + A 2 sin ω 0 + ω t
Step-by-step solution
y m = A c o s ω t y c = V 0 s i n ω 0 t Modulated signal = V 0 + A c o s ω t s i n ω 0 t = V 0 s i n ω 0 t + A c o s ω t s i n ω 0 t = V 0 s i n ω 0 t + A 2 s i n ω 0 - ω t + A 2 s i n ω 0 + ω t