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JEE Main 202310 AprilMorning Shift
Exam
JEE Main
Year
2023
Date
10 April
Shift
Morning Shift
Subject
Physics
Chapter
Communication System

JEE Main 2023 · 10 April · Morning Shift · Physics · Communication System

A carrier wave of amplitude 15V is modulated by a sinusoidal base...

A carrier wave of amplitude 15V15V is modulated by a sinusoidal base band signal of amplitude 3V3V. The ratio of maximum amplitude to minimum amplitude in an amplitude modulated wave is

Options

  1. A22
  2. B32\dfrac{3}{2}
  3. C11
  4. D55

Correct answer

B. 32\dfrac{3}{2}

Step-by-step solution

The given data is

Ac=15VAm=3V{A}_{c} = 15V{A}_{m} = 3V

Thus, the maximum amplitude and minimum amplitude is

{A}_\max = {A}_{c} + {A}_{m}{A}_\min = {A}_{c} - {A}_{m}

Hence, the ratio is

\dfrac{{A}_\max}{{A}_\min} = \dfrac{15 + 3}{15 - 3} = \dfrac{18}{12} = \left(\dfrac{3}{2}\right)

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