Q. A ground receiver station is receiving a signal at 5 MHz, transmitted from a ground transmitter at a height of 300 m located at a distance of 100 km. Identify whether it is coming $via$:(Radius of earth$= 6.4 \times 10^{6}$m); $N_{\max}$ of ionosphere$= 10^{12}\ m^{- 3}$

A) Ground wave propagation
B) Space wave propagation
C) Sky wave propagation
D) Satellite communication
Explanation

(c) Maximum distance covered by space wave communication
$= \sqrt{2Rh} = \sqrt{2 \times 6.4 \times 10^{6} \times 300} = 62 \times 10^{3}m$
Since, receiver-transmitter distance is 100 km. Therefore, signal cannot go either by ground wave or space wave. For sky wave, the value of critical frequency of signal should be
$v_{c} = 9\left( N_{\max} \right)^{\frac{1}{2}} = 9\left( 10^{12} \right)^{1/2} = 9\ MHz$
Therefore, signal can propagatic $via$ sky wave propagation

Dr. Abubacker
Reviewed by Dr. Abubacker

Physics Educator & NEET/JEE Specialist

Ph.D. in Physics with 19+ years of teaching experience.