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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.


Learning Progress: Step 8 of 33 in this series