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Question

Physics Question on communication systems

For sky wave propagation of 10MHz10\, MHz signal, what should be the minimum electron density in ionosphere?

A

1.2×1012m3\sim1.2 \times 10^{12} m^{-3}

B

106m3\sim 10^{6} m^{-3}

C

1014m3\sim 10^{14} m^{-3}

D

1022m3\sim 10^{22} m^{-3}

Answer

1.2×1012m3\sim1.2 \times 10^{12} m^{-3}

Explanation

Solution

The critical frequency of sky wave undergoing reflection from a layer of atmosphere is fc=9Nmaxf_{c}=9 \sqrt{N_{\max }} where NN is electron density per m3m ^{3}. Nmax=fc281=(10×106)281\therefore N_{\max } =\frac{f_{c}^{2}}{81}=\frac{\left(10 \times 10^{6}\right)^{2}}{81} =1.2×1012m3=1.2 \times 10^{12} m ^{3}