An amplitude modulated waves is represented by expression v _ m = 5(1 + 0 . 6 6280t) (211 × 10 ^ 4 t)V . The minimum and maximum amplitudes of the amplitudes modulated wave are, respectively:

Correct answer: B. (5)/(2)V, 8V From Given Equation μ = 0 . 6 A _ m = A _ + A _ 2 = A _ c = 5V A _ - A _ 2 = 3V From Equation (1) + (2) A _ = 8V From Equation (1) – (2) A _ = 2V

JEE Main 20202 SeptemberMorning Shift

Exam: JEE Main
Year: 2020
Date: 2 September
Shift: Morning Shift
Subject: Physics
Chapter: Communication System

JEE Main 2020 · 2 September · Morning Shift · Physics · Communication System

An amplitude modulated waves is represented by expression v _ m =...

An amplitude modulated waves is represented by expression

{v}_{m} = 5\left(1 + 0 . 6\cos 6280t\right)\sin \left(211 \times {10}^{4}t\right)V

. The minimum and maximum amplitudes of the amplitudes modulated wave are, respectively:

Options

A $\dfrac{3}{2}V, 5V$
B $\dfrac{5}{2}V, 8V$
C $5V, 8V$
D $3V, 5V$

Correct answer

B. $\dfrac{5}{2}V, 8V$

Step-by-step solution

From Given Equation

$\mu = 0 . 6$

${A}_{m} = \muAc$

$\dfrac{{A}_\max + {A}_\min}{2} = {A}_{c} = 5V$

$\dfrac{{A}_\max - {A}_\min}{2} = 3V$

From Equation (1) + (2)

${A}_\max = 8V$

From Equation (1) – (2)

${A}_\min = 2V$

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