A signal of frequency 20kHz and peak voltage of 5Volt is used to...

A signal of frequency

20kHz

and peak voltage of

5Volt

is used to modulate a carrier wave of frequency

1 . 2MHz

and peak voltage

25Volts

. Choose the correct statement.

Options

AModulation index $= 5$ , side frequency bands are at $1400kHzand1000kHz$ .
BModulation index $= 5$ , side frequency bands are at $21 . 2kHzand18 . 8kHz$ .
CModulation index $= 0 . 2$ , side frequency bands are at $1220kHzand1180kHz$ .
DModulation index $= 5$ , side frequency bands are at $24 . 2kHzand18 . 8kHz$ .

Correct answer

C. Modulation index $= 0 . 2$ , side frequency bands are at $1220kHzand1180kHz$ .

Step-by-step solution

Modulation index defines the modulated signal's ratio of maximum to minimum voltage

$= \dfrac{{V}_{m}}{{V}_{c}} = \dfrac{5}{25} = 0.2$
Carrier Frequency $1.2 \times {10}^{3}kHz$

${f}_{c} = 1200kHz$ .

Lower side-band frequency, ${f}_{1} = 1200 - 20 = 1180KHz$ .

Upper band frequency, ${f}_{2} = 1200 + 20 = 1220KHz$ .

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