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JEE Main 202125 FebruaryMorning Shift
Exam
JEE Main
Year
2021
Date
25 February
Shift
Morning Shift
Subject
Physics
Chapter
Communication System

JEE Main 2021 · 25 February · Morning Shift · Physics · Communication System

Given below are two statements: Statement I : A speech signal of...

Given below are two statements:

Statement I : A speech signal of 2kHz2kHz is used to modulate a carrier signal of 1MHz1MHz. The bandwidth requirement for the signal is 4kHz4kHz.

Statement II : The side band frequencies are 1002kHz1002kHz and 998kHz998kHz. In the light of the above statements, choose the correct answer from the options given below:

Options

  1. AStatement I is false but Statement II is true
  2. BBoth Statement I and Statement II are true
  3. CStatement I is true but Statement II is false
  4. DBoth Statement I and Statement II are false

Correct answer

B. Both Statement I and Statement II are true

Step-by-step solution

fm=2kHz{f}_{m} = 2kHz

fc=1MHz=1000kHz{f}_{c} = 1MHz = 1000kHz

Band width =2fm=4kHz= 2{f}_{m} = 4kHz

∴∴ Side frequencies will be

=fc±fm= {f}_{c} \pm {f}_{m}

=(1000±2)kHz= \left(1000 \pm 2\right)kHz

=998kHz and 1002kHz= 998kHz \text{ and } 1002kHz

So, statement-I & statement-II both are correct.

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