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Question

Physics Question on communication systems

If the critical frequency for sky wave propagation is 12 MHz, then the maximum electron density in the ionosphere is

A

1.78×1012m31.78 \times 10^{12}\, m^{-3}

B

0.178×1010m30.178 \times 10^{10}\, m^{-3}

C

1.12×1012m31.12 \times 10^{12}\, m^{-3}

D

0.56×1012m30.56 \times 10^{12}\, m^{-3}

Answer

1.78×1012m31.78 \times 10^{12}\, m^{-3}

Explanation

Solution

Critical frequency for sky wave propagation
\hspace30mm f_c = 9\, (N_{max})^{1/2}
or \hspace20mm N_{max}= \frac{f_c^2}{81} = \frac{(12 \times 10^6)^2}{81} =1.78 \times 10^{12}\, m^{-3}