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Question

Physics Question on communication systems

In short wave communication, waves of which of the following frequencies will be reflected back by the ionospheric layer having electron density 101110^{11} per m3m ^{3} ?

A

2 MHz

B

10 MHz

C

12 MHz

D

18 MHz

Answer

2 MHz

Explanation

Solution

We know that the artificial frequency of a sky wave for reflection from an ionospheric layer of the atmosphere is given by, υc=9n1/2\upsilon_{c}=9n^{1/2} where nn is the number density of electrons/m3m^3 . It is given that N=1011/m3N = 10^{11} /m^3 υc=9×(1011)1/2\therefore \upsilon_{c}=9\times\left(10^{11}\right)^{1/2} =2.8×106Hz=2.8MHz=2.8\times10^{6} Hz = 2.8 \,MHz. Hence the wave of frequency 2MHz2 \,MHz will be reflected back.