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JEE Main 202229 JulyMorning Shift

Exam: JEE Main
Year: 2022
Date: 29 July
Shift: Morning Shift
Subject: Physics
Chapter: Communication System

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

Find the modulation index of an AM wave having 8V variation where...

Find the modulation index of an AM wave having

8V

variation where maximum amplitude of the AM wave is

9V

.

Options

A $0 . 8$
B $0 . 5$
C $0 . 2$
D $0 . 1$

Correct answer

A. $0 . 8$

Step-by-step solution

Modulation index is given by $m = \dfrac{{A}_{m}}{{A}_{c}}$ , where, ${A}_{m}$ is amplitude of modulating signal and ${A}_{c}$ is amplitude of carrier signal.
Given: $2{A}_{m} = 8$
${A}_{m} + {A}_{c} = 9 ⇒ {A}_{c} = 5$
$∴ m = \dfrac{4}{5} = 0 . 8$

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