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AIIMS 201827 May

Exam: AIIMS
Year: 2018
Date: 27 May
Subject: Physics
Chapter: Communication System

AIIMS 2018 · 27 May · Physics · Communication System

If the modulation index of an amplitude modulated wave is changed...

If the modulation index of an amplitude modulated wave is changed from 0 to 1 , then the transmitted power will be

Options

Aunchanged
Bdoubled
Cincreased by $50 \%$
Dzero

Correct answer

C. increased by $50 \%$

Step-by-step solution

The transmitted power in AM wave is

P_t=\left(1+\frac{\mu^2}{2}\right) P_c

where

\mu

is the modulation index and

P_c

is the power in carrier wave. When

\mu=0, P_t=P_c

and when

\mu=1, P_t=\left(1+\frac{1}{2}\right) P_c=\frac{3}{2} P_c

\therefore

The percentage increase in transmitted power

=\frac{\frac{3}{2} P_c-P_c}{P_c} \times 100 \%=\frac{1}{2} \times 100 \%=50 \%

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