The modulation frequency of an AM radio station is 250kHz, which is 10 % of the carrier wave. If another AMstation approaches you for license what broadcast frequency 1800 kHz to kHz will you allot?

Question

The modulation frequency of an AM radio station is 250kHz, which is 10 % of the carrier wave. If another AMstation approaches you for license what broadcast frequency 1800 kHz to kHz will you allot? (A)  (B)  (C)  (D)

Tardigrade Admin · Accepted Answer

According to question, modulation frequency,

250 Hz

is

10%

of carrier wave

f_{carrier} = \frac{250}{0.1} = 2500 k H Z

∴

Range of signal

2500 \pm 250 KHz = 2250 Hz

to

2750 Hz

For

2000 k H Z

f_{mod} = 200 Hz

∴

Range

= 1800 k H Z

to

2200 KH Z

Q. The modulation frequency of an AM radio station is 250kHz, which is 10% of the carrier wave. If another AMstation approaches you for license what broadcast frequency 1800kHz to ________ kHz will you allot?

According to question, modulation frequency, 250Hz is 10% of carrier wave fcarrier​=0.1250​=2500kHZ ∴ Range of signal 2500±250KHz=2250Hz to 2750Hz For 2000kHZ fmod​=200Hz ∴ Range =1800kHZ to 2200KHZ

Q. The modulation frequency of an $A M$ radio station is $250 k Hz$ , which is $10%$ of the carrier wave. If another $A M$ station approaches you for license what broadcast frequency $1800 k Hz$ to ________ $k Hz$ will you allot?

According to question, modulation frequency, $250 Hz$ is $10%$ of carrier wave
$f_{carrier} = \frac{250}{0.1} = 2500 k H Z$
$∴$ Range of signal $2500 \pm 250 KHz = 2250 Hz$ to $2750 Hz$
For $2000 k H Z$
$f_{mod} = 200 Hz$
$∴$ Range $= 1800 k H Z$ to $2200 KH Z$