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JEE Main20231 Feb 2023Evening ShiftPhysicsCommunication SystemActual

In an amplitude modulation, a modulating signal having amplitude of X V is superimposed with a carrier signal of amplitude Y V in first case. Then, in second case, the same modulating signal is superimposed with different carrier signal of amplitude 2 Y V . The ratio of modulation index in the two case respectively wil be :

Options

  1. A1   :   2
  2. B1   :   1
  3. C2   :   1
  4. D4   :   1

Correct answer

C. 2   :   1

Step-by-step solution

Modulating index is stated as μ = A m A c , where, A m = amplitude of modulating signal and A c = amplitude of carrier signal. Now, for first case, μ 1 = X Y For second case, μ 2 = X 2 Y Thus, the ratio of μ 1 μ 2 = X Y X 2 Y = 2 1 ⇒ μ 1 : μ 2 = 2 : 1

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