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Two waves A and B of frequencies 2MHz an...

Two waves A and B of frequencies 2MHz and 3 MHz, respectively are beamed in the same direction for communication via sky wave. Which one of these is likely to travel longer distance in the ionosphere before suffering total internal reflection?

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As the frequency of wave B is more than wave A, it means the refractive index of wave B is more than refractive index of wave A (as refractive index increases with frequency increases).
For higher frequency wave (i.e., higher refractive index) the angle of refraction is less i.e., bending is less. So, wave B travel longer distance in the ionosphere before suffering total internal reflection.
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