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On a particular day, the maximum frequen...

On a particular day, the maximum frequency reflected from the ionosphere is 12 MHz, On another day, it was found to decrease to 9 MHz. By what percentage the maximum electron density of the ionosphere has been decreased.

Text Solution

Verified by Experts

`v_c = 12MHz, v'_c = 9MHz`
As `v_c = 9(N_(max))^(1//2)`
or `v_c prop (N_(max))^(1//2) or N_(max) prop v_(c)^(2)`
`:. (N'_(max))/(N_(max)) = ((v'_c)/(v_c))^2 = (9/12)^2 = 9/16`
% decrease in maximum electron density
`= ((N_(max) - N'_(max))/N_(max)) xx 100 = (1-(N_(max))/N_(max)) xx 100`
`= (1-9/16) xx 100 = 700/16 = 43.75%`.
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