The modulation frequency of an AM radio station is 250 kHz , which is 10% of the carrier wave. If another AM station approaches you for license, what broadcast frequency will you allot?
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a
2000 KHz
b
2250 KHz
c
2900 KHz
d
2750 KHz
answer is A.
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Detailed Solution
Given, fm= 250 KHz And also that fm is 10 % of fc , i.e fc=2500KHz Now, For a given carrier wave of frequency with modulation frequency fm , the band width is calculated by fupper=fc+fm flower=fc−fm To avoid overlapping of band widths, net broadcast frequencies can be f1=fc±2fm,f2=fc±3fm So next immediate available broad cast frequency is f1=fc+2fm = 2500+(2×250)=3000KHz and f1'=fc-2fm = 2500−(2×250)=2000KHz