Haryana PMT Haryana PMT Solved Paper-2007

  • question_answer
    In a semiconductor electron concentration is \[7\times {{10}^{13}}c{{m}^{-3}}\] and hole concentration is \[5\times {{10}^{12}}c{{m}^{-3}}.\] Then the semiconductor is

    A)  n-type        

    B)  p-type

    C)  intrinsic                              

    D)  p-n type

    Correct Answer: A

    Solution :

                    In a doped semiconductor, the number density of electrons and holes is not equal. But it can be established that \[{{n}_{e}}{{n}_{h}}=n_{i}^{2}\]where \[{{n}_{e}}\], \[{{n}_{h}}\] are the number density of electrons and holes, respectively and \[{{n}_{i}}\] is the number density of intrinsic carriers (ie, electrons or holes) in a pure semiconductor. In n-type semiconductor, the number density of electrons is nearly equal to the number, density of donor atoms \[{{N}_{d}}\] and is very large as compared to number density of holes. Hence, \[{{n}_{e}}\approx {{N}_{a}}>>{{n}_{h}}\] In p-type semiconductor, the number density of holes is nearly equal to the number density of acceptor atoms \[{{N}_{a}}\] and is very large as compared to number density of electrons. Hence,                 \[{{n}_{h}}\approx {{N}_{a}}>>{{n}_{e}}\] Since, electron concentration is \[7\times {{10}^{13}}\text{ }c{{m}^{-3}}\]and hole concentration is \[5\times {{10}^{12}}\text{ }c{{m}^{-3}}\], the semiconductor is n-type.


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