JEE PYQ: Communication System Question 8
Question 8 - 2021 (17 Mar 2021 Shift 2)
A carrier signal $C(t) = 25 \sin(2.512 \times 10^{10}t)$ is amplitude modulated by a message signal $m(t) = 5 \sin(1.57 \times 10^{8}t)$ and transmitted through an antenna. What will be the bandwidth of the modulated signal?
(1) 8GHz
(2) 2.01GHz
(3) 1987.5MHz
(4) 50MHz
Show Answer
Answer: (4)
Solution
Band width $= 2f_m$. $\omega_m = 1.57 \times 10^8 = 2\pi f_m$. BW $= 2f_m = \frac{10^8}{2}$ Hz $= 50$ MHz.