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JEE Main & Advanced Physics Semiconducting Devices Question Bank Critical Thinking

  • question_answer
    The probability of electrons to be found in the conduction band of an intrinsic semiconductor at a finite temperature  [IIT-JEE 1995; DPMT 2004]

    A)            Decreases exponentially with increasing band gap

    B)            Increases exponentially with increasing band gap

    C)            Decreases with increasing temperature

    D)            Is independent of the temperature and the band gap

    Correct Answer: A

    Solution :

                       The probability of electrons to be found in the conduction band of an intrinsic semiconductor \[P(E)=\frac{1}{1+{{e}^{\frac{(E-{{E}_{F}})}{kT}}}}\]; where k = Boltzmann's constant Hence, at a finite temperature, the probability decreases exponentially with increasing band gap.


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