BCECE Engineering BCECE Engineering Solved Paper-2006

  • question_answer
    Frequencies higher than 10 MHz were found not being reflected by the ionosphere on a particular day at a place. The maximum electron density of the ionosphere on the day was near to:

    A)  \[1.5\times {{10}^{10}}{{m}^{-3}}\]        

    B)         \[1.24\times {{10}^{12}}{{m}^{-3}}\]

    C)         \[3\times {{10}^{12}}{{m}^{-3}}\]                           

    D)         none of these

    Correct Answer: B

    Solution :

    The value of maximum frequency \[f\] which can be reflected from the layer at an angle of incidence \[i\] is given by \[{{f}^{2}}=\frac{80.6N}{{{\cos }^{2}}i}\] where, \[i\] is angle of incidence and N is electron density. For the wave not reflected from ionosphere, \[i=0\]                 \[\therefore \]  \[{{f}^{2}}=\frac{80.6N}{{{\cos }^{2}}{{0}^{o}}}=\frac{80.6N}{1}\]                 or            \[N=\frac{{{f}^{2}}}{80.6}=\frac{{{(10\times {{10}^{6}})}^{2}}}{80.6}\]                                 \[=\frac{100}{80.6}\times {{10}^{12}}\]                 \[=1.24\times {{10}^{12}}/{{m}^{3}}\]


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