A wave of frequency of 10 kHz and amplitude 20 volts is being used to modulate amplitude of carrier wave of frequency 1000 kHz and peak voltage 40 volts. Choose correct option regarding carrier modulated wave.
A wave of frequency of 10 kHz and amplitude 20 volts is being used to modulate amplitude of carrier wave of frequency 1000 kHz and peak voltage 40 volts. Choose correct option regarding carrier modulated wave.
Option 1 -
Equation of carrier modulated wave is 40{1+0.25 sin 20π*10³t}sin(2π*10⁶t) and modulation index is 0.2
Option 2 -
Equation of carrier modulated wave is 40{1+0.5 sin 20π*10³t}sin(2π*10⁴t) and modulation index is 0.5
Option 3 -
Equation of carrier modulated wave is 40{1+0.5sin 20π*10³t} sin(2π*10⁶t) and modulation index is 2
Option 4 -
Equation of carrier modulated wave is 40{1+0.5 sin 20π*10³t} sin(2π*10⁶t) and depth of modulation is 0.5
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1 Answer
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Correct Option - 4
Detailed Solution:µ = A? /A? = 0.5 {A? = 20 volt, A? = 40 volt}
m (t) = A? sin ω? t {ω? = 2π×10? }
c (t) = A? sin ω? t {ω? = 2π×10×10³}
C? (t) = (A? + A? sin ω? t) sin ω? t ⇒ A? {1+ µsin ω? t} sin ω? t
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According to question, we can write
Increment in height of tower = h2 – h1 = 500 – 125 = 375 m
Low pass filter will allow low frequency signal to pass while high pass filter allow high frequency to pass through
Kindly consider the following figure
Amplitude of sidebands = µAc/2
Here µ = Am/Ac = 5/15 = 1/3
Amplitude = (1/3) (15)/2 = 2.5 V
a/10 = 2.5 => a = 25
b/10 = 2.5 => b = 25
a/b = 1
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