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JEE Main 202229 JulyEvening Shift
Exam
JEE Main
Year
2022
Date
29 July
Shift
Evening Shift
Subject
Physics
Chapter
Communication System

JEE Main 2022 · 29 July · Evening Shift · Physics · Communication System

A modulating signal 2 (6 . 28 × 10 ^ 6 )t is added to the carrier...

A modulating signal 2sin⁡(6.28×106)t2\sin \left(6 . 28 \times {10}^{6}\right)t is added to the carrier signal 4sin⁡(12.56×109)t4\sin \left(12 . 56 \times {10}^{9}\right)t for amplitude modulation. The combined signal is passed through a non-linear square law device. The output is then passed through a band pass filter. The bandwidth of the output signal of band pass filter will be _____ MHzMHz.

Correct answer

0

Step-by-step solution

Frequencies present in output of square law device

2fc,fc+fm,fc,fc−fm,2fm,fm2{f}_{c}, {f}_{c} + {f}_{m}, {f}_{c}, {f}_{c} - {f}_{m}, 2{f}_{m}, {f}_{m}

After passing through band pass filter, frequencies present

fc+fm,fc,fc−fm{f}_{c} + {f}_{m}, {f}_{c}, {f}_{c} - {f}_{m}

Bandwidth of the output signal =2fm= 2{f}_{m}

=2ωm2π=6.28×1063.14= \dfrac{2{\omega}_{m}}{2\pi} = \dfrac{6 . 28 \times {10}^{6}}{3 . 14} =2MHz= 2MHz

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