Modern Physics 7 Question 23

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

(Main 2019, 10 Jan II)

(a) 2000kHz

(b) 2250kHz

(c) 2900kHz

(d) 2750kHz

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Solution:

  1. For a given carrier wave of frequency fc with modulation frequency fm, the bandwidth is calculated by

fupper =fc+fmflower =fcfm

To avoid overlapping of bandwidths, next broadcast frequencies can be

f1=fc±2fm,f2=fc±3fm

So, next immediate available broadcast frequency is

f1=fc+2fm and f1=fc2fm

Given, fm=250kHz

and also that fm is 10 of fc, i.e. fc=2500kHz.

So, f1=2500+(2×250)=3000kHz

and f1=2500(2×250)=2000kHz



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