CEE Kerala Engineering CEE Kerala Engineering Solved Paper-2010

  • question_answer
    A pure semiconductor has equal electron and hole concentration of\[{{10}^{16}}{{m}^{-3}}\]. Doping by indium increases\[{{n}_{h}}\]to\[5\times {{10}^{22}}{{m}^{-3}}\]. Then, the value of \[{{n}_{e}}\] in the doped semiconductor is

    A)  \[{{10}^{6}}/{{m}^{3}}\]              

    B)         \[{{10}^{22}}/{{m}^{3}}\]

    C)  \[2\times {{10}^{6}}/{{m}^{3}}\]             

    D)         \[{{10}^{19}}/{{m}^{3}}\]

    E)  \[2\times {{10}^{9}}/{{m}^{3}}\]

    Correct Answer: E

    Solution :

    \[{{({{n}_{i}})}^{2}}={{n}_{e}}{{n}_{h}}\] \[{{({{10}^{16}})}^{2}}={{n}_{e}}\times 5\times {{10}^{22}}\] \[\therefore \]  \[{{n}_{e}}=\frac{{{10}^{16}}\times {{10}^{16}}}{5\times {{10}^{22}}}\]                 \[{{n}_{e}}=2\times {{10}^{9}}/{{m}^{3}}\]


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