JEE Main & Advanced Sample Paper JEE Main Sample Paper-40

  • question_answer
    For sky wave propagation of a 10 MHz signal, what should be the minimum electron density in ionosphere

    A) \[\tilde{\ }1.2\times {{10}^{12}}{{m}^{-3}}\]    

    B) \[\tilde{\ }{{10}^{6}}{{m}^{-3}}\]

    C) \[\tilde{\ }{{10}^{14}}{{m}^{-3}}\]                   

    D) \[\tilde{\ }{{10}^{22}}{{m}^{-3}}\]

    Correct Answer: A

    Solution :

    [a] The critical frequency of a sky wave for reflection from a layer of atmosphere is given by \[{{f}_{c}}=9{{({{N}_{\max }})}^{1/2}}\]\[\Rightarrow \]\[10\times {{10}^{6}}=9{{({{N}_{\max }})}^{1/2}}\]\[\Rightarrow \]\[{{N}_{\max }}{{\left( \frac{10\times {{10}^{6}}}{6} \right)}^{2}}=1.2\times {{10}^{12}}{{m}^{2}}\]


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