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JEE Main202331 Jan 2023Morning ShiftPhysicsCommunication SystemActual

The amplitude of 15 sin ( 1000 π t ) is modulated by 10 sin ( 4 π t ) signal. The amplitude modulated signal contains frequency (ies) of ( A ) 500 Hz ( B ) 2 Hz ( C ) 250 Hz ( D ) 498 Hz ( E ) 502 Hz 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 f c - f m ,   f c ,   f c + f m Here, carrier wave frequency is f c = 100 π 2 π = 500   Hz Modulating wave frequency is f m = 4 π 2 π = 2   Hz So, the frequencies in amplitude modulated signal are = 498   Hz ,   500   Hz ,   502   Hz

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