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JEE Main 202331 JanuaryMorning Shift
Exam
JEE Main
Year
2023
Date
31 January
Shift
Morning Shift
Subject
Physics
Chapter
Communication System

JEE Main 2023 · 31 January · Morning Shift · Physics · Communication System

The amplitude of 15 ( 1000 ) is modulated by 10 ( 4 ) signal. The...

The amplitude of 15sin⁡(1000\pit)15\sin ( 1000\pit ) is modulated by 10sin⁡(4\pit)10\sin ( 4\pit ) signal. The amplitude modulated signal contains frequency (ies) of

(A)500Hz( A ) 500Hz

(B)2Hz( B ) 2Hz

(C)250Hz( C ) 250Hz

(D)498Hz( D ) 498Hz

(E)502Hz( E ) 502Hz

Choose the correct answer from the options given below:

Options

  1. AA only
  2. BA, D and E only
  3. CB only
  4. DA and B only

Correct answer

B. A, D and E only

Step-by-step solution

The frequency components of amplitude modulated signal are fc−fm,fc,fc+fm{f}_{c} - {f}_{m}, {f}_{c}, {f}_{c} + {f}_{m}

Here, carrier wave frequency is

fc=100π2π=500Hz{f}_{c} = \dfrac{100\pi}{2\pi} = 500Hz

Modulating wave frequency is

fm=4π2π=2Hz{f}_{m} = \dfrac{4\pi}{2\pi} = 2Hz

So, the frequencies in amplitude modulated signal are =498Hz,500Hz,502Hz= 498Hz, 500Hz, 502Hz

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