Quantrex Quantrex AcademyJEE · NEET · NDA PYQs with solutions Open app
JEE Main201911 Jan 2019Morning ShiftPhysicsCommunication SystemActual

An amplitude modulated signal is given by V ( t )=10[1+0.3 . (2.2 10⁴ t ) ] (5.5 10⁵ t ) . Here t is in seconds. The sideband frequencies (in kHz ) are, [Given =22 / 7 ]

Options

  1. A1785 and 1715
  2. B178.5 and 171.5
  3. C89.25 and 85.75
  4. D892.5 and 857.5

Correct answer

C. 89.25 and 85.75

Step-by-step solution

Equation given array l V ( t )=10 [1+0.3 (2.2 10⁴ ) ] (5.5 10⁵ t ) =10+1.5 [ (57.2 10⁴ t )+ (52.8 10⁴ t ) ] _ c + _ w =57.2 10⁴=2 f ₁ array f ₁= 57.2 10⁴ 2 ( 22 7 ) =9.1 10⁴ 91 KHz _ c - _ w =52.8 10⁴ f ₂= 52.8 10⁴ 2 ( 22 7 ) 84 KHz Upper side band frequency (f₁ ) is f ₁= f _ c - f _ w = 52.8 10⁴ 2 85.00 kHz Lower side band frequency ( f ₂ ) is f ₂= f _ c + f _ w = 57.2 10⁴ 2 90.00 kHz

Practice Communication System on Quantrex Academy →

More from Communication System

The height of transmitting antenna is 180 m and the height of the receiving antenna is 245 m . The maximum distance between them for satisfactory communication in line of sight wil 2023To radiate EM signal of wavelength λ with high efficiency, the antennas should have a minimum size equal to: 2023Match List-I with List-II List-I (Layer of atmosphere) List-II (Approximate height over earth's surface) ( A ) F 1 - Layer ( I ) 10 km B D - Layer II 170 - 190 km C Troposphere 2023The amplitude of 15 sin ( 1000 π t ) is modulated by 10 sin ( 4 π t ) signal. The amplitude modulated signal contains frequencies of A. 500 Hz B. 2 Hz C. 250 Hz D. 498 Hz 2023In satellite communication, the uplink frequency band used is: 2023A transmitting antenna is kept on the surface of the earth. The minimum height of receiving antenna required to receive the signal in line of sight at 4 km distance from it is x &# 2023A massage signal of frequency 3 kHz is used to modulate a carrier signal of frequency 1 . 5 MHz . The bandwidth of the amplitude modulated wave is 2023A carrier wave of amplitude 15 V is modulated by a sinusoidal base band signal of amplitude 3 V . The ratio of maximum amplitude to minimum amplitude in an amplitude modulated wave 2023 Full Communication System list All JEE Main PYQs